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.

persons age

Movie 18-23 yr 24-29 yr 30-35 yr Row Total

drama 10 12 12 34

science fiction 14 12 4 30

comedy 11 8 10 29

column total 35 32 26 93

What is the level of significance?

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.)