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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Author:Amos Gilat
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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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