A true/false test has 100 questions. Suppose a passing grade is 65 or more correct answers. Test the claim that a student knows more than half of the answers and is not just guessing. Assume the student gets 65 answers correct out of 100. Use a significance level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given below. Show step 3, finding the test statistic and the p-value and step 4, interpreting the results. Step 1: Ho: p=0.50 Ha: p>0.50 Step 2: Choose the one-proportion z-test. Sample size is large enough, because np is 100(0.5) = 50 and n (1-P) = 100(.5) = 50, and both are more than 10. Assume the sample is random. Step 3: Compute the z-test statistic, and the p-value. Z = p-value = (Round to two decimal places as needed.) (Round to three decimal places as needed.) Step 4: Do you reject or not reject the null hypothesis? What does this mean in the context of the data? O A. Reject Ho. The probability of doing this well by chance alone is not small enough to conclude that the student is not guessing. B. Reject Ho. The probability of doing this well by chance alone is so small that it can be concluded that the student is not guessing. O C. Do not reject Ho. The probability of doing this well by chance alone is so small that it can be concluded that the student is not guessing. O D. Do not reject Ho. The probability of doing this well by chance alone is not small enough to conclude that the student is not guessing

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Step 3 please and thank you

A true/false test has 100 questions. Suppose a passing grade is 65 or more correct answers. Test the claim that a student knows
more than half of the answers and is not just guessing. Assume the student gets 65 answers correct out of 100. Use a significance
level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given below. Show step 3, finding the test statistic and the p-value and
step 4, interpreting the results.
Step 1: Ho: p=0.50
Ha: p>0.50
Step 2: Choose the one-proportion z-test. Sample size is large enough, because np is 100(0.5) = 50 and n(1-P) = 100(.5) = 50,
and both are more than 10. Assume the sample is random.
Step 3: Compute the z-test statistic, and the p-value.
Z =
p-value =
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
Step 4: Do you reject or not reject the null hypothesis? What does this mean in the
context of the data?
A. Reject Ho. The probability of doing this well by chance alone is not small enough to
conclude that the student is not guessing.
B. Reject Ho. The probability of doing this well by chance alone is so small that it can
be concluded that the student is not guessing.
O C. Do not reject Ho. The probability of doing this well by chance alone is so small that it
can be concluded that the student is not guessing.
O D. Do not reject Ho. The probability of doing this well by chance alone is not small
enough to conclude that the student is not guessing.
Transcribed Image Text:A true/false test has 100 questions. Suppose a passing grade is 65 or more correct answers. Test the claim that a student knows more than half of the answers and is not just guessing. Assume the student gets 65 answers correct out of 100. Use a significance level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given below. Show step 3, finding the test statistic and the p-value and step 4, interpreting the results. Step 1: Ho: p=0.50 Ha: p>0.50 Step 2: Choose the one-proportion z-test. Sample size is large enough, because np is 100(0.5) = 50 and n(1-P) = 100(.5) = 50, and both are more than 10. Assume the sample is random. Step 3: Compute the z-test statistic, and the p-value. Z = p-value = (Round to two decimal places as needed.) (Round to three decimal places as needed.) Step 4: Do you reject or not reject the null hypothesis? What does this mean in the context of the data? A. Reject Ho. The probability of doing this well by chance alone is not small enough to conclude that the student is not guessing. B. Reject Ho. The probability of doing this well by chance alone is so small that it can be concluded that the student is not guessing. O C. Do not reject Ho. The probability of doing this well by chance alone is so small that it can be concluded that the student is not guessing. O D. Do not reject Ho. The probability of doing this well by chance alone is not small enough to conclude that the student is not guessing.
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