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: 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 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: 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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Description: A true/false test has100questions. Suppose a passing grade is65or more correct answers. Test the claim that a student knows more than half of the answers and is not just guessing. Assume the student gets65answers correct out of100.Use a significance

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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Topic Video

Question

A true/false test has

100

questions. Suppose a passing grade is

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

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

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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