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 18 8 34 Science Fiction 9 8 13 30 Comedy 7 7 15 29 Column Total 24 33 36 93  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.) What are the degrees of freedom? Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100   0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005   Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > α, we fail to reject the null hypothesis. Since the P-value > α, we reject the null hypothesis.     Since the P-value ≤ α, we reject the null hypothesis. Since the P-value ≤ α, we fail to reject the null hypothesis.   Interpret your conclusion in the context of the application.   At the 5% level of significance, there is sufficient evidence to conclude that age of young adult and movie preference are not independent.   At the 5% level of significance, there is insufficient evidence to conclude that age of young adult and movie preference are not independent.

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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 18 8 34
Science Fiction 9 8 13 30
Comedy 7 7 15 29
Column Total 24 33 36 93

 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.)

What are the degrees of freedom?


Find or estimate the P-value of the sample test statistic.

P-value > 0.100
0.050 < P-value < 0.100  
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.005 < P-value < 0.010
P-value < 0.005
 
Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
Since the P-value > α, we fail to reject the null hypothesis.
Since the P-value > α, we reject the null hypothesis.    
Since the P-value ≤ α, we reject the null hypothesis.
Since the P-value ≤ α, we fail to reject the null hypothesis.
 
Interpret your conclusion in the context of the application.
 
At the 5% level of significance, there is sufficient evidence to conclude that age of young adult and movie preference are not independent.
 
At the 5% level of significance, there is insufficient evidence to conclude that age of young adult and movie preference are not independent.    
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