Chapter 11.1, Problem 15P

For Problems 9-19. please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?

(c) Find or estimate the p- value of the sample test statistic.

(d) Based on your answers in parts (a) to (c). will you reject or fail to reject the null hypothesis of independence?

(c) Interpret your conclusion in the context of the application.

Use the expected values E to the hundredths place.

Sociology: Movie Preference Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 young adults

revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level.

Person's Age

Movie	18-23 yr	24-29 yr	30-35 yr	Row Total
Drama	8	15	11	34
Science fiction	12	10	8	30
Comedy	9	8	12	29
Column Total	29	33	31	93