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. Movie Drama Science Fiction Comedy Column Total 18-23 yr 10 12 8 30 Person's Age 24-29 yr 11 10 10 31 30-35 уг 13 8. 11 32 Row Total 34 30 29 93 (a) What is the level of significance? State the null and alternate hypotheses. Ho: Age and movie preference are not independent. H7: Age and movie preference are independent. H,: Age and movie preference are not independent. H: Age and movie preference are not independent. • Ho: Age and movie preference are independent. H: Age and movie preference are not independent. O Ho: Age and movie preference are independent. H,: Age and movie preference are 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? O Yes No What sampling distribution will you use? binomial normal chi-square Student's t uniform What are the degrees of freedom?
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. Movie Drama Science Fiction Comedy Column Total 18-23 yr 10 12 8 30 Person's Age 24-29 yr 11 10 10 31 30-35 уг 13 8. 11 32 Row Total 34 30 29 93 (a) What is the level of significance? State the null and alternate hypotheses. Ho: Age and movie preference are not independent. H7: Age and movie preference are independent. H,: Age and movie preference are not independent. H: Age and movie preference are not independent. • Ho: Age and movie preference are independent. H: Age and movie preference are not independent. O Ho: Age and movie preference are independent. H,: Age and movie preference are 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? O Yes No What sampling distribution will you use? binomial normal chi-square Student's t uniform What are the degrees of freedom?
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Transcribed Image Text: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.
Movie
Drama
Science Fiction
Comedy
Column Total
18-23 yr
10
12
8
30
Person's Age
24-29 yr
11
10
10
31
30-35 уг
13
8.
11
32
Row Total
34
30
29
93
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: Age and movie preference are not independent.
H7: Age and movie preference are independent.
H,: Age and movie preference are not independent.
H: Age and movie preference are not independent.
• Ho: Age and movie preference are independent.
H: Age and movie preference are not independent.
O Ho: Age and movie preference are independent.
H,: Age and movie preference are 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?
O Yes
No
What sampling distribution will you use?
binomial
normal
chi-square
Student's t
uniform
What are the degrees of freedom?
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