The result of a hypothesis is described in terms of the probability of obtaining a particular sample. Use the given context to formulate the null and alternative hypotheses. Discuss whether the sample provides evidence for rejecting the null hypothesis.The mayor of a city claims that racial profiling is not a problem in his city. A civil rights group disagrees. The proportion of Caucasians who have been stopped while driving, without good reason, at least once in the past year is 0.19 (19%). In a random sample of 340 African Americans , the proportion who have been stopped is 0.37 (37%). Assuming that the proportion of all African Americans in the city that have been stopped is 0.19, the probability of selecting a sample in which the proportion who have been stopped is 0.37 or

Question

more is less than 0.001.

What will be an ideal response?

Answer 1

Null hypothesis: proportion of African Americans who have been stopped = 0.19 
Alternative hypothesis: proportion of African Americans who have been stopped > 0.19 
Result is significant at the 0.01 level, and provides strong evidence for rejecting the null hypothesis in favor of the alternative hypothesis that the proportion of African Americans who have been stopped is greater than 0.19.