1. For a certain year a study reports that the percentage of Americans aged 21 - 30 that had personal credit card debt was 72%. A researcher claims that this is too high for Americans aged 21 - 30 that have at least a Bachelor's degree. In a random sample of 320 Americans aged 21 - 30 with at least a Bachelor's degree, 208 of them had personal credit card debt. At a = 0.01, is the researcher correct about her claim? a. State the null and alternative hypotheses AND identify which is the researcher's claim. b. Determine the critical value(s) that separate the rejection region(s) from the non-rejection region. c. Compute the appropriate test statistic and provide the corresponding p-value.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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1. For a certain year a study reports that the percentage of Americans aged 21 – 30 that had personal
credit card debt was 72%. A researcher claims that this is too high for Americans aged 21 – 30 that
have at least a Bachelor's degree. In a random sample of 320 Americans aged 21 – 30 with at least a
Bachelor's degree, 208 of them had personal credit card debt. At a = 0.01, is the researcher correct
%3D
about her claim?
а.
State the null and alternative hypotheses AND identify which is the researcher's claim.
b. Determine the critical value(s) that separate the rejection region(s) from the non-rejection
region.
c. Compute the appropriate test statistic and provide the corresponding p-value.
d. Make your decision about the evidence and provide a justification.
Transcribed Image Text:1. For a certain year a study reports that the percentage of Americans aged 21 – 30 that had personal credit card debt was 72%. A researcher claims that this is too high for Americans aged 21 – 30 that have at least a Bachelor's degree. In a random sample of 320 Americans aged 21 – 30 with at least a Bachelor's degree, 208 of them had personal credit card debt. At a = 0.01, is the researcher correct %3D about her claim? а. State the null and alternative hypotheses AND identify which is the researcher's claim. b. Determine the critical value(s) that separate the rejection region(s) from the non-rejection region. c. Compute the appropriate test statistic and provide the corresponding p-value. d. Make your decision about the evidence and provide a justification.
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