As of 2012, the proportion of students who use a MacBook as their primary computer is 0.31. You believe that at your university the proportion is actually different from 0.31. The hypotheses for this test are Null Hypothesis: p = 0.31, Alternative Hypothesis: p # 0.31. If you randomly select 24 students in a sample and 12 of them use a MacBook as their primary computer, what is your test statistic and p-value?
As of 2012, the proportion of students who use a MacBook as their primary computer is 0.31. You believe that at your university the proportion is actually different from 0.31. The hypotheses for this test are Null Hypothesis: p = 0.31, Alternative Hypothesis: p # 0.31. If you randomly select 24 students in a sample and 12 of them use a MacBook as their primary computer, what is your test statistic and p-value?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![As of 2012, the proportion of students who use a MacBook as their primary computer is 0.31. You believe that at your university, the proportion is actually different from 0.31. The hypotheses for this test are:
- Null Hypothesis: \( p = 0.31 \)
- Alternative Hypothesis: \( p \neq 0.31 \)
If you randomly select 24 students in a sample and 12 of them use a MacBook as their primary computer, what is your test statistic and p-value?
Options:
1) Test Statistic: 2.013, P-Value: 0.978
2) Test Statistic: 2.013, P-Value: 0.956
3) Test Statistic: 2.013, P-Value: 0.044
4) Test Statistic: 2.013, P-Value: 0.022
5) Test Statistic: -2.013, P-Value: 0.044
Correct Answer: Option 3) Test Statistic: 2.013, P-Value: 0.044.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dec026f-5294-4aa9-bb82-e08106845372%2F5730d63d-05d1-4e05-a2f3-acc31c389bf2%2Fy4lx5u9_processed.png&w=3840&q=75)
Transcribed Image Text:As of 2012, the proportion of students who use a MacBook as their primary computer is 0.31. You believe that at your university, the proportion is actually different from 0.31. The hypotheses for this test are:
- Null Hypothesis: \( p = 0.31 \)
- Alternative Hypothesis: \( p \neq 0.31 \)
If you randomly select 24 students in a sample and 12 of them use a MacBook as their primary computer, what is your test statistic and p-value?
Options:
1) Test Statistic: 2.013, P-Value: 0.978
2) Test Statistic: 2.013, P-Value: 0.956
3) Test Statistic: 2.013, P-Value: 0.044
4) Test Statistic: 2.013, P-Value: 0.022
5) Test Statistic: -2.013, P-Value: 0.044
Correct Answer: Option 3) Test Statistic: 2.013, P-Value: 0.044.
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