13. Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones. A researcher wants to perform a test at the $\alpha = 0.01$, where $p$ = the proportion of adults who own cell phones in the U.S.? Is there enough evidence to support the researcher's claim? a. State the null and alternative hypotheses b. Calculate the test statistic and the $p$-value. Draw the picture. c. Decide whether or reject or fail to reject the null hypothesis at the given significance level? d. Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea? Be sure to use context in your answer!
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The null hypothesis (H0) would be that the proportion of adults who own cell phones in the U.S. is equal to the proportion of adults who own cell phones in South Korea. The alternative hypothesis (Ha) would be that the proportion of adults who own cell phones in Show moreā¦
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Final Conclusions. In Exercises 25ā28, use a significance level of Ī± = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject h0). b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: Fewer than 90% of adults have a cell phone. The hypothesis test results in a p-value of 0.0003.
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