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.
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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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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