Question

A student believes that no more than 25% (i.e., ≤25%) of the students who finish a...

A student believes that no more than 25% (i.e., ≤25%) of the students who finish a statistics course get an A. A random sample of 81 students was taken. Twenty-four percent of the students in the sample received 'A's.

a. State the null and alternative hypotheses and using the critical value approach, test the hypotheses at the 1% level of significance.

b. Using the p-value approach, test the hypotheses at the 1% level of significance

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The estimated proportion is

a)We have to test

The test statistic is

The critical value is

Since , we fail to reject the null hypothesis.

b)The P-value of the test is

Since , we fail to reject the null hypothesis.

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
A student believes that no more than 20% (i.e., 20%) of the students who finish a...
A student believes that no more than 20% (i.e., 20%) of the students who finish a statistics course get an A. A random sample of 100 students was taken. Twenty-four percent of the students in the sample received A's. Using the critical value approach, test the hypotheses at the 1% level of significance.
A student believes that no more than 20% of the students who finish a statistics course...
A student believes that no more than 20% of the students who finish a statistics course get an A. A random sample of 100 students was taken. Twenty-four percent of the students in the sample recieved A's. Using the critical value approach, test the hypotheses at the 1% level of significance.
6. A university student claims that on average, full-time students study more than 30 hours per...
6. A university student claims that on average, full-time students study more than 30 hours per week. A statistics class conducts a study to test the claim. The students randomly sample 15 students and find ?=32.4 hours and ?=4.2 hours. a) State the null and alternative hypotheses. b) Determine the outcome of the student’s test at the: i) At the 5% significance level. (∝=0.05) ii) At the 1% significance level. ∝=0.01
A statistics teacher wants to see if there is any difference in the ability of students...
A statistics teacher wants to see if there is any difference in the ability of students enrolled in statistics today and those that enrolled five years ago. A sample of final examination scores from students enrolled today and students enrolled five years ago was taken. You are given the following information. Today Five Years Ago Mean Score 82 88 Sample Standard Deviation 112.5 54 Sample Size 45 `36 (a) Formulate the null and alternative hypotheses to test whether there is...
An executive believes that no more than 80% of the company’s employees take all of their...
An executive believes that no more than 80% of the company’s employees take all of their vacation days. When testing the executive's hypothesis (using a 1% level of significance), what is the null and alternative hypothesis? (please write out the null and alternative hypotheses below) Need work shown. What is the Test Statistic? What is the P- Value? Conclusion on Null Hypothesis?
Nancy believes that the average running time of movies is equal to 170 minutes. A sample...
Nancy believes that the average running time of movies is equal to 170 minutes. A sample of 7 movies was taken and the following running times were obtained. Assume the population of the running times is normally distributed as 158 162, 170 182,185,189,195 Using the p-value approach as well as critical value approach, test the hypotheses at the 10% level of significance.
Nancy believes that the average running time of movies is equal to 170 minutes. A sample...
Nancy believes that the average running time of movies is equal to 170 minutes. A sample of 7 movies was taken and the following running times were obtained. Assume the population of the running times is normally distributed as 158 162, 170 182,185,189,195 Using the p-value approach as well as critical value approach, test the hypotheses at the 10% level of significance.
A statistician believes that the standard deviation of the weights of firemen is less than 25...
A statistician believes that the standard deviation of the weights of firemen is less than 25 pounds. A sample of 20 firemen had a standard deviation of 23.2 pounds. Assume that the variable is normally distributed with  =005 . . What is the critical value? A) 31.410 B) 30.144 C) 10.851 D) 10.117                    Test firemen’s claim.                     i) Null and Alternative Hypotheses                    ii) Test Statistic                    iii) Decision
A data set includes data from student evaluations of courses. The summary statistics are n=95​, x=3.86​,...
A data set includes data from student evaluations of courses. The summary statistics are n=95​, x=3.86​, s=0.67. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses?
Scenario Two: A student group believes that less than 50% of students find their college experience...
Scenario Two: A student group believes that less than 50% of students find their college experience extremely rewarding. They decide to test this hypothesis using a significance level of .05. They conduct a random sample of 100 students and 34 say they find their college experience extremely rewarding. You only need to redo the steps below to receive full credit for scenario two. Based on the type of test this is (right, left, or two-tailed); determine the following for this...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT