a) 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.)

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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 8 12 14 34
Science Fiction 9 9 12 30
Comedy 7 7 15 29
Column Total 24 28 41 93

a) 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.)

 

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