1 1-. n Solimar Ortiz-Reyes Module 6 Quiz - Quiz Solimar Ortiz-Reyes: Attempt 1

Question

1 1-. n Solimar Ortiz-Reyes Module 6 Quiz - Quiz Solimar Ortiz-Reyes: Attempt 1 State your decision regarding the null hypothesis. A sociologist was interested in determining if there was 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. Use a chi-square independence test to determine if age and type of movie preferred are related at the 5% level of significance. - 18-23 years old ! 24-29 years old old Drama 15 Science Fiction 12 10 12 Comedy 31 Totals Assume the assumptions of the test are satisfied and state your decision regarding the null hypothesis. Note: the p-value = 0.4594 Activity Details

Explanation / Answer

Ans:

Expected count=row sum*column sum/overall sum

degree of freedom=(3-1)*(3-1)=4

p-value=chidist(3.633,4)=0.4594

As,p-value>0.05,we fail to reject null hypothesis.

There is not sufficient evidence to conclude that age and type pf movie preferred are related.

Observed(O) 18-23 24-29 30-35 Total drams 8 15 11 34 fiction 12 10 8 30 comedy 9 8 12 29 total= 29 33 31 93 Expected(E) 18-23 24-29 30-35 Total drams 10.60 12.06 11.33 34 fiction 9.35 10.65 10.00 30 comedy 9.04 10.29 9.67 29 total= 29 33 31 93 (O-E)^2/E 18-23 24-29 30-35 drams 0.639 0.714 0.010 fiction 0.748 0.039 0.400 comedy 0.000 0.510 0.563 Total chi square score=3.623

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