Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 18, Problem 24CAP
To determine

Find the Mann-Whitney U test at a .05 level of significance.

Determine whether to retain or reject the null hypothesis.

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A medical researcher claims that 5% of children have asthma.In a random sample of 100 children 7.2% say they have asthma.  At α=.05, evaluate the claim by: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.
In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the decision for this hypothesis test?   A) Fail to reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha. B)Fail to reject Ho because the test statistic is not in the rejection region and the p-value is greater than alpha. C) Reject Ho because the test statistic is in the critical region and the p-value is less than alpha. D) Fail to reject Ho because the test statistic is in the critical region and the p-value is less than alpha. E) Reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha.
According to the National Highway and Traffic  Safety Administration,  the proportion of fatal traffic accidents in the United States in which the driver had a positive blood alcohol concentration (BAC) is .36. Suppose a random sample of 105 traffic fatalities in the state of Hawaii results in 51 that involved a positive BAC. D) Check whether the conditions for hypothesis testing using the P-value approach are meet.
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