Mr. Acosta, a sociologist, is doing a study to see if there is a relationship be

Question

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 etc) and the type of movie preferred. A random sample of 93 adults reveled the following data. Test whether age and type of movie preferred are independent at the 0.05 level. (a) What is the level of significance? State the null and alternate hypotheses. H_0: Age and movie preference are not independent H_1: Age and movie preference are not independent. H_0: Age and move preference are not independent. H_1: Age and movie preference are independent H_0: Age and movie preference are independent: H_1: Age and movie preference are independent H_0: Age and movie preference are independent H_1: Age and movie preference are not 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 statistics to three decimal places.) Are all the expected frequencies greater than S? Yes No What sampling distribution will you use? normal chi square binomial uniform Student's t What are the degrees of freedom? (d) 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 > alpha, we fail to reject the null hypothesis. Since the p-value > alpha, we reject the null hypothesis. Since the p-value

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Movie
Columns: None

Chi-Square test:

Hence,

a) Level of significance = 0.05

Null and alternative hypotheses: Option D is correct.

b) Chi square statistic = 1.908

Yes

Chi - square

Degrees of freedom = 4

c) p - Value = 0.753

d) Option A is correct.

e) Option B is correct.

Cell format Count
(Expected count)

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