A textbook publisher claims that 84% of college students enrolled in a course that uses their textbooks pass the class. One professor thinks the proportion is actually higher. He surveys 177 students in classes that use a textbook from the textbook publisher and finds the 153 of those students ultimately pass the class. Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv .84 Ha: pv .84 So we will be performing a right-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed ♥ with distribution mean and distribution standard deviation

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A textbook publisher claims that 84% of college students enrolled in a course that uses their
textbooks pass the class. One professor thinks the proportion is actually higher. He surveys 177
students in classes that use a textbook from the textbook publisher and finds the 153 of those
students ultimately pass the class. Perform a hypothesis test using a 4% level of significance.
Step 1: State the null and alternative hypotheses.
Ho: pvv
.84
Ha:
.84
(So we will be performing a right-tailed
Vv test.)
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
point estimates using the Central Limit Theorem.
By the Central Limit Theorem, we know that the point estimates are normally distributed ♥▼ with
distribution mean
and distribution standard deviation
Step 3: Find the p-value of the point estimate.
= P(zv
%3D
P(p'v2v
p-value =
Step 4: Make a Conclusion About the null hypothesis.
= a, we do not reject
the null
Since the p-value =
hypothesis.
O We cannot conclude that more than 84% of students enrolled in a course that uses the
publisher's textbook pass the class.
O We conclude that more than 84% of students enrolled in a course that uses the publisher's
Transcribed Image Text:A textbook publisher claims that 84% of college students enrolled in a course that uses their textbooks pass the class. One professor thinks the proportion is actually higher. He surveys 177 students in classes that use a textbook from the textbook publisher and finds the 153 of those students ultimately pass the class. Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Ho: pvv .84 Ha: .84 (So we will be performing a right-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed ♥▼ with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(zv %3D P(p'v2v p-value = Step 4: Make a Conclusion About the null hypothesis. = a, we do not reject the null Since the p-value = hypothesis. O We cannot conclude that more than 84% of students enrolled in a course that uses the publisher's textbook pass the class. O We conclude that more than 84% of students enrolled in a course that uses the publisher's
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