10-5

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 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 16 34 Science Fiction 30 Comedy 29 Column Total 93 LA USE SALT a) What is the level of significance? POUp State the null and alternate hypotheses. O Ho: Age and movie preference are not independent. H : Age and movie preference are independent O Ho: Age and movie p are not independent. H, : Age and movie pr dependent. End Ho: Age and movie prefe ence are independent. H, : Age and movie preference are independent. O Ho: Age and movie preference are independent. H, : Age and movie preferer are not independent. Home (b) Find the value of the chi-square statistic for the sample. (Round the expected frequ es to at least three decimal places. Round the test statistic to three decimal places. Are all the expected frequencies greater than 5? Yes O NO Presen , What sampling distribution will you use? O chi-square O Student's t O uniform O normal O binomial what are the degrees of freedom? c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. O Since the P-value S a, we reject the null hypothesis. Since the P-value S a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application O At the 5% level At the 5% level of si dependent