Question

1. In a random sample of 58 people aged 20-24, 22.7% were smokers. In a random...

1. In a random sample of 58 people aged 20-24, 22.7% were smokers. In a random sample of 110 people aged 25-29, 29.5% were smokers. Calculate the margin of error for a 95% confidence interval that can be used to estimate the difference between the population proportions p1 − p2 of the smokers in these age groups.

Show your answer in decimal form, rounded to three decimal places.

2. Confidence interval for the difference between population proportions.
(Assume that the samples are randomly selected and independent.)


Sample statistics: x 1 = 36, n 1 = 64 and x 2 = 47, n 2 = 71;
Construct a 95% confidence interval for the difference between population proportions p1 – p2

Select one:

a. 0.368 < p1 – p2 < 0.757

b. -0.263 < p1 – p2  < 0.064

c. -0.294 < p1 – p2 < 0.757

d. 0.399 < p1 – p2  < 0.726

3. As a result of running a simple regression on a data set, the following estimated regression equation was obtained:

      = 9.7 + 13.4x

Furthermore, it is known that SST = 622, and SSE = 150.

Calculate the correlation coefficient R; round your answer to three decimal places

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(Assume that the samples are randomly selected and independent.) Sample statistics: x 1 = 36, n...
(Assume that the samples are randomly selected and independent.) Sample statistics: x 1 = 36, n 1 = 64 and x 2 = 47, n 2 = 71; Construct a 95% confidence interval for the difference between population proportions p1 – p2 Select one: 0.368 < p1 – p2 < 0.757 -0.263 < p1 – p2 < 0.064 -0.294 < p1 – p2 < 0.757 0.399 < p1 – p2 < 0.726 2. Two independent samples are randomly selected and...
In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample...
In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the proportions of 20-24 year olds and 25-29 year olds who are smokers. Also, find the margin of error. What is the Parameter of interest? What is the underlying Distribution?
5. In a random sample of 500 people in their 30's, 22% were smokers. In a...
5. In a random sample of 500 people in their 30's, 22% were smokers. In a random sample of 450 people in their 20's, 14% were smokers. The 95% confidence interval for the difference between the population proportions P20's - P30's. turned out to be: -0.128 < p1 - p2 < -0.032. What does this imply? There is not a significant difference between the smoking habits of people in their 20's and people in their 30's, but the sample showed...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 400 n2 = 300 p1 = 0.53 p2 = 0.36 A. What is the point estimate of the difference between the two population proportions? (Use p1 − p2. ) B. Develop a 90% confidence interval for the difference between the two population proportions. (Use p1 − p2. Round your answer to four decimal places.) to C. Develop a 95% confidence interval for the...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 400 n2 = 300 p1 = 0.53 p2 = 0.31 (a) What is the point estimate of the difference between the two population proportions? (Use p1 − p2. ) (b) Develop a 90% confidence interval for the difference between the two population proportions. (Use p1 − p2. Round your answer to four decimal places.)   to   (c) Develop a 95% confidence interval for the...
Show all your work in detail to receive full credit. Assume that the samples are independent...
Show all your work in detail to receive full credit. Assume that the samples are independent and that they have been randomly selected. 1) In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the population proportions p1 - p2. (a) Find the best point estimate for p1 - p2 . (b) Find the critical values by...
A random sample of 100 traditional aged college students were asked whether they would turn to...
A random sample of 100 traditional aged college students were asked whether they would turn to their father or mother for advise if they had a personal problem. A second sample of 100 different traditional aged college students was asked the same question regarding an academic issue. If 47 of the students in the first sample and 56 of the students in the second sample replied that they turned to their mother rather than their father for help, test the...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 500 n2= 200 p1= 0.45 p2= 0.34 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 500 n2= 300 p1= 0.43 p2= 0.36 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 500 n2= 200 p1= 0.46 p2= 0.31 b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. ______ to ________ c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. ________ to _________