Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 78

Please provide the following information for Problems 7-12:
(a) What is the level of significance State the null and alternate hypotheses.
(b) Check Requirements What sampling distribution will you use What assumptions are you making Compute the sample test statistic.
(c) Find (or estimate) the P -value. Sketch the sampling distribution and show the area corresponding to the P -value.
(d) Based on your answers in parts (a)-(c), will you reject or fail to reject the null hypothesis Are the data statistically significant at level
(e) Interpret your conclusion in the context of the application.
Note: Answers may vary due to rounding.
Art: Politics Do you prefer paintings in which the people are fully clothed This question was asked by a professional survey group on behalf of the National Arts Society (see reference in Problem 7). A random sample of n 1 = 59 people who are conservative voters showed that r 1 = 45 said yes. Another random sample of n 2 = 62 people who are liberal voters showed that r 2 = 36 said yes. Does this indicate that the population proportion of conser­vative voters who prefer art with fully clothed people is higher Use = 0.05.