10. [-/0.27 Points] DETAILS BBUNDERSTAT12 10.1.015.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 18 9 34 Science Fiction 10 8 12 30 Comedy 10 12 29 Column Total 24 36 33 93 LA USE SALT (a) What is the level of significance? State the null and alternate hypotheses. Ho: Age and movie preference are independent. H1: Age and movie preference are independent. Ho: Age and movie preference are not independent. H1 : Age and movie preference are independent. Ho: Age and movie preference are not independent. H1: Age and movie preference are not independent. Ho: Age and movie preference are independent. H1: Age and movie preference are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? binomial normal chi-square uniform Student's t What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050