Test the given claim. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Among 2000 passenger cars in a particular��� region, 215 had only rear license plates. Among 375 commercial​ trucks, 52 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.01 significance level to test that hypothesis.   a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval.

a. Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses. b. Identify the test statistic. c. Identify the​ P-value. d.  State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Address whether the results suggest that touch therapists are effective.

A random sample of 88 adults is classified according to gender and the number of hours of television watched during a week. Use a 0.01 level of significance and test the hypothesis that the time spent watching television is independent of whether the viewer is male or female. Click the icon to view the contingency table. Write the hypotheses for the test. Ho: The time spent watching television is independent of gender. H₁: The time spent watching television is not independent of gender. The test statistic is x² = ☐]. (Round to two decimal places as needed.)

Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.29 H1: p>0.29 O B. Ho: p#0.29 H1:p=0.29 O C. Ho: p=0.29 H1:p#0.29 OD. Ho: p=0.29 H1:p<0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is . (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29%