Please help me answer ALL 7 BLANKS. I posted this question before and no one rep

Question

Please help me answer ALL 7 BLANKS. I posted this question before and no one replied. Please help me

Suppose you are looking at the relationship between gender and color preference. You wonder if there is a difference between the preferences of males and females for yellow and purple. You conduct a quick survey asking different people which color they prefer. The results are shown in the 2 x 2 data matrix below: observed Frequencies Color Preference Yellow Purple 19 Female 89 Male 28 64 The X2 test statistic for the chi-square test for independence is 55.27. The phi-coefficient is According to Cohen's guidelines, the value for the phi-coefficient indicates effect. Suppose you ask the same question of four times as many people, but the proportions remain the same. The new results are shown in the 2 x 2 data matrix below: observed Frequencies Color Preference Yellow Purple 356 76 Female 256 Male 112

Explanation / Answer

For chi-square=55.27 , the phi=sqrt(chi-sqaure/n)=sqrt(55.27/(89+19+28+64))= 0.5257

According to cohen this indicates Large effect

For chi-square=221.08 , the phi=sqrt(chi-sqaure/n)=sqrt(221.08/(356+76+112+256))= 0.5257

Thus, when we change the sample size without changing the proportions,the chi-sqaure does not change but the phi coefficient change.

Cramer’s V=sqrt(-chi-sqaure/nt)=sqrt(8.81/(1*250))=0.1877

This indicates small size.

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