Question

Breast cancer specialists use BI-RADS scores (a whole number from 1 to 6) to classify mammogram...

Breast cancer specialists use BI-RADS scores (a whole number from 1 to 6) to classify mammogram findings. A score of 1 indicates a negative finding, while 6 indicates clear malignancy. The data set below contains observations on 950 women who had mammograms and subsequent biopsies. For each woman, we have a BI-RADS score and the result of her biopsy (benign or malignant). Of interest is whether mean BIRADS score is, in fact, higher for women who have malignancies.

a. Which assumption is required to make inference about mean BI-RADS scores for women with and without malignancies?

b. What are the null and alternative hypotheses?

c. What is the value of the test statistic?

d. What is the approximate p-value?

e. Which assumption is required for the p-value in c) to be valid?

f. Using a significance level of = 0.05, state your conclusions in the language of the problem.

BI.RADS Diagnosis
5 Malignant
4 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
5 Benign
5 Malignant
5 Malignant
5 Malignant
3 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
3 Benign
4 Malignant
4 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Malignant
5 Malignant
2 Benign
5 Benign
5 Malignant
5 Benign
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
2 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
4 Benign
4 Benign
5 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
3 Benign
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
5 Benign
5 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Benign
4 Benign
5 Malignant
3 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Benign
4 Benign
5 Malignant
4 Malignant
4 Malignant
4 Benign
5 Malignant
5 Benign
5 Malignant
4 Benign
4 Benign
5 Benign
4 Benign
5 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Malignant
3 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
5 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
5 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
5 Benign
4 Benign
5 Malignant
5 Malignant
4 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
4 Malignant
4 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
3 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
5 Benign
5 Malignant
4 Benign
5 Benign
4 Benign
4 Benign
4 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Benign
4 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
3 Benign
4 Malignant
2 Benign
4 Benign
5 Malignant
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
2 Malignant
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
5 Benign
3 Benign
3 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
2 Benign
4 Benign
4 Benign
3 Benign
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Benign
3 Benign
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
3 Benign
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
3 Benign
4 Benign
5 Malignant
4 Benign
4 Malignant
5 Malignant
3 Benign
5 Malignant
5 Malignant
5 Malignant
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
3 Benign
5 Malignant
5 Malignant
5 Malignant
5 Malignant
5 Malignant
2 Benign
4 Malignant
5 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
4 Malignant
4 Malignant
4 Benign
4 Benign
5 Malignant
5 Benign
5 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
5 Malignant
4 Benign
4 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
3 Benign
4 Benign
4 Benign
4 Benign
2 Benign
4 Benign
4 Benign
4 Benign
4 Malignant
5 Malignant
4 Malignant
4 Malignant
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Malignant
4 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Benign
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
5 Malignant
5 Benign
4 Malignant
5 Malignant
4 Benign
5 Malignant
3 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
4 Malignant
5 Malignant
3 Benign
3 Benign
4 Benign
5 Malignant
4 Malignant
4 Benign
5 Malignant
5 Benign
4 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Malignant
4 Benign
5 Benign
2 Benign
3 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
4 Benign
3 Benign
5 Malignant
4 Benign
5 Malignant
5 Benign
5 Malignant
5 Malignant
5 Malignant
3 Malignant
4 Benign
5 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
5 Benign
5 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Malignant
5 Malignant
4 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
4 Malignant
4 Malignant
5 Malignant
4 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
5 Malignant
3 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
3 Benign
4 Benign
5 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
4 Malignant
5 Malignant
4 Malignant
5 Malignant
4 Malignant
4 Benign
4 Benign
5 Malignant
5 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Malignant
5 Malignant
3 Benign
4 Benign
5 Malignant
4 Benign
3 Benign
4 Malignant
5 Malignant
5 Malignant
4 Benign
2 Benign
5 Malignant
5 Malignant
5 Malignant
5 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
3 Benign
4 Benign
4 Benign
4 Malignant
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Malignant
5 Malignant
6 Malignant
3 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Malignant
2 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
2 Benign
4 Benign
4 Malignant
5 Benign
4 Benign
4 Benign
5 Benign
4 Malignant
5 Malignant
5 Benign
5 Malignant
4 Malignant
5 Benign
5 Benign
5 Benign
5 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
5 Malignant
4 Malignant
4 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
5 Benign
5 Malignant
3 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Malignant
5 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
4 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
2 Benign
5 Malignant
4 Malignant
4 Benign
3 Malignant
5 Malignant
6 Malignant
4 Benign
5 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Malignant
5 Malignant
5 Malignant
5 Malignant
4 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
5 Malignant
4 Malignant
5 Malignant
5 Malignant
4 Benign
4 Benign
6 Malignant
4 Malignant
4 Benign
4 Benign
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Malignant
4 Malignant
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Benign
6 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
6 Malignant
6 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Malignant
5 Malignant
4 Benign
4 Benign
3 Benign
4 Benign
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
6 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
5 Malignant
5 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
4 Benign
5 Malignant
4 Benign
2 Benign
5 Malignant
4 Benign
4 Malignant
3 Benign
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
3 Benign
5 Malignant
4 Malignant
6 Benign
4 Malignant
4 Benign
4 Malignant
4 Malignant
4 Benign
4 Benign
4 Malignant
4 Malignant
4 Benign
3 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Benign
4 Benign
5 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
5 Malignant
5 Malignant
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
6 Malignant
4 Benign
5 Malignant
5 Malignant
4 Benign
4 Malignant
5 Malignant
4 Benign
6 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
4 Benign
4 Benign
4 Malignant
4 Benign
4 Malignant
4 Benign
4 Malignant
5 Malignant
5 Malignant
5 Malignant
5 Malignant
4 Malignant
5 Malignant
4 Benign
5 Malignant
4 Benign
2 Benign
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
4 Benign
4 Benign
3 Benign
5 Malignant
4 Benign
4 Malignant
5 Malignant
4 Benign
3 Malignant
5 Malignant
4 Malignant
4 Benign
5 Malignant
5 Malignant
6 Malignant
5 Malignant
4 Malignant
4 Malignant
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Benign
4 Malignant
4 Malignant
4 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
4 Benign
4 Malignant
4 Malignant
4 Benign
4 Malignant
4 Benign
4 Malignant
4 Benign
4 Malignant
4 Benign
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Malignant
4 Benign
4 Benign
4 Benign
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Benign
5 Malignant
4 Benign
4 Benign
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Malignant
4 Benign
4 Benign
4 Malignant
4 Benign
4 Malignant
4 Benign
5 Malignant
4 Benign
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Note: Dataset has 953 observations!

Benign Malignnant
n 513 440
Mean 3.981 4.711
Std 0.511 0.532

a) Sample size is more than 30 and assumed to be approximatley normal.

b) Two sample t test with equal variances:

c) The test statistic:

pooled variance:

d) The degree of freedom= n1+n2-2= 951

P-value: 0.000

e) The test statistic is significant and rejects H0.

f) There is sufficient evidence to support the claim that the mean BIRADS score is higher for women who have malignancies.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Breast cancer specialists use BI-RADS scores (a whole number from 1 to 6) to classify mammogram...
Breast cancer specialists use BI-RADS scores (a whole number from 1 to 6) to classify mammogram findings. A score of 1 indicates a negative finding, while 6 indicates clear malignancy. The data set mammography.csv contains observations on 953 women who had mammograms and subsequent biopsies. For each woman, we have a BI-RADS score and the result of her biopsy (benign or malignant). Of interest is whether mean BIRADS score is, in fact, higher for women who have malignancies. a. Which...
The number of hours 6 students watched television during the weekend and the scores of each...
The number of hours 6 students watched television during the weekend and the scores of each students who took a test the following Monday are tabulated below. Note: X= hours watched, Y=test score a) find the prediction equation b) predict the test score for 2.5 hours of TV watching. 0-93 1-86 2-82 3-74 4-84 5-72
Question 1. The main purpose of screening is to identify symptomatic disease using tests, exams, or...
Question 1. The main purpose of screening is to identify symptomatic disease using tests, exams, or other procedures. True False Question 2. The detectable pre-clinical phase of a disease starts when the disease can be identified by a screening test and ends when the disease produces symptoms. True False Question 3 .Diseases that are appropriate for screening… a. Have serious consequences b. Have a treatment that is more effective at an earlier stage c. Have a detectable preclinical phase that...
Check My Work The following data are from an experiment designed to investigate the perception of...
Check My Work The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 10 5 7 9 5 8 8 4 7 9 4 6 10 5 7 8 4 7 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error...
The following data are from an experiment designed to investigate the perception of corporate ethical values...
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 7 5 6 6 5 7 5 4 6 6 4 5 7 5 6 5 4 6 a. Compute the values identified below (to 2 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares,...
The following data are from an experiment designed to investigate the perception of corporate ethical values...
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 6 7 10 5 7 11 4 6 10 5 6 9 6 7 10 4 6 10 a. Compute the values identified below (to 2 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares,...
You may need to use the appropriate technology to answer this question. Scores in the first...
You may need to use the appropriate technology to answer this question. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in golf tournaments are shown in the following table. Player First Round Final Round Golfer 1 70 72 Golfer 2 71 72 Golfer 3 70 74 Golfer 4 72 71 Golfer 5 70 69 Golfer 6 67 67 Golfer 7 71 67 Golfer 8 68 72 Golfer 9 67 72 Golfer 10...
You may need to use the appropriate technology to answer this question. A standardized exam consists...
You may need to use the appropriate technology to answer this question. A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. Student Math Writing 1 540 474 2 432 380 3 528 463 4 574 612 5 448 414 6 502 520 7 480 430 8 499 459 9 610 615 10 572 541 11 390 329 12...
You are a school psychologist interested in whether a new educational program, Go4It, improves SAT scores...
You are a school psychologist interested in whether a new educational program, Go4It, improves SAT scores in senior high school students. After implementing the educational program in an SAT course at Park High School, you obtain the students’ SAT scores (n = 10). You want to know whether SAT scores from your sample of students, who were enrolled in the Go4It program, are different from the population of SAT scores. You have access to SAT scores for all senior high...
Do students who take SAT coaching classes improve their test scores? Seven students were selected randomly...
Do students who take SAT coaching classes improve their test scores? Seven students were selected randomly from all of the students who completed an SAT coaching class in a given year. For each student, the first SAT score (before the class) and the second SAT score (after the coaching class) were recorded. The data is summarized below: Student 1 2 3 4 5 6 7 First SAT score 920 820 960 920 1060 860 1010 Second SAT score 1030 800...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT