MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
A​ true/false test has
100
questions. Suppose a passing grade is
60
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
60
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:
H0​:
p=0.50
Step​ 1:
Ha​:
p>0.50
 
Step​ 2: Choose the​ one-proportion z-test. Sample size is large​ enough, because
np0
is
100​(0.5)=50
and
n1−p0
​=
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.
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