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 10 15 9 34 Science Fiction 13 9 8 30 Comedy 7 10 12 29 Column Total 30 34 29 93 1. 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.) 2. What are the degrees of freedom?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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 10 15 9 34
Science Fiction 13 9 8 30
Comedy 7 10 12 29
Column Total 30 34 29 93

1. 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.)

2. What are the degrees of freedom?

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