Question

Conduct a statistical test at a significance level of 0.05 to determine if there is an association between gender and movie preference. The chart of observed counts has been re-copied here for convenience. Male Female Total Action 52 24 76 Drama 32 32 64 Comedy 20 16 36 Animated 16 8 24 Total 120 80 200 Answer in the blanks to show the work associated with exploring this claim. Blank #1: The statistical test to determine whether there is an association between two categorical variables is the ______________overall relationship test. Blank #2: Compute the expected count of Females who prefer comedy. Report your answer with one decimal place. The test was conducted and the following test statistic and p-value calculated as shown in the calculator screenshot. Fill in the remaining blanks to show the test in its entirety. X2-Test X2=5.653021442 P=. 1297673797 of=3

Answer 1

Answers:

Blank#1 = Chi-square test of association

(Since, chi square test of association is used to check association between two categorical variables)

Blank#2 = 14.4

( Since, expected count of female who prefer comedy =(Total female × total count of comedy)/Total count

=(80×36)/200 = 14.4 )

Blank#3 = is not

( Since,null hypothesis is, Ho: There is not an association between gender and movie preference)

Blank#4 = is

( Since,alternative hypothesis is, Ha: There is an association between gender and movie preference)

Blank#5 = do not reject

(Since, p-value= 0.129767 Here, p-value > 0.05 ,do not reject Ho )

Blank#6 =does not favours

(Since, we do not reject Ho and conclude that there is not an association between gender and movie preference)