For the blanks on this sentence: "The χ² test statistic for the chi-square test of independence would now be 68.64, and the phi-coefficient would be(blank1) . Thus, when we change the sample size without changing the proportions, the (blank 2) does not change, but the (blank 3) does." Blank 2 options: "chi-square test statistic" or "significance of the association" or "strength of the association" Blank 3 options: "phi-coefficient" or significance of the association" or "strength of the association" 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 datamatrix below:Observed FrequenciesColor PreferenceRedYellowFemale212120Male80188The x2 test statistic for the chi-square test of independence would now be 68.64, and the phi-coefficient would beThus, when we changethe sample size without changing the proportions, thedoes not change, but thedoes.Now, suppose you conduct a slightly different study. Instead of looking at the difference between the preferences of males and females for two colors,you classify your 250 respondents into four categories: male child, female child, male adult, and female adult. You also decide to look at differences inpreferences for five (5) colors: red, yellow, green, blue, and purple. The x² test statistic for the chi-square test of independence is 99.45, andCramer's V would beAccording to Cohen's guidelines, the value for the Cramer's V indicateseffect. Which of the following statements are correct about the phi-coefficient? Check all that apply.It is a measure of correlation between two dichotomous variables.It can be used as a measure of the strength of a relationship between two dichotomous variables.It is a measure of correlation between a dichotomous variable and a continuous variable.It can be used as a measure of the significance of a relationship between two dichotomous variables.Suppose you are looking at the relationship between gender and color preference. You wonder if there is a difference between the preferences ofmales and females for red and yellow. You conduct a quick survey asking different people which color they prefer. The results are shown in the 2 x 2data matrix below:Observed FrequenciesColor PreferenceRedYellowFemale5330Male2047The x2 test statistic for the chi-square test for independence is 17.16. The phi-coefficient isAccording to Cohen's guidelines, the value for the phi-coefficient indicateseffect.

Hi! Thankyou for the question. As per our honor code can answer only three sub parts per question. Kindly find the solution to first three parts. If you have any doubts in remaining parts kindly make a new request mentioning the part which you need help in. Given test statistic for the chi-square test of independence χ2=68.64The sample size n=600 Blank 1)The phi coefficient is calculated a shown below=χ2n=68.64600=2.8022 Thus when we change the sample size without changing the proportions the Chi square test statistic does not change but the Phi coefficient does. Blank 2. Chi square test statistic. Blank 3. Phi Coefficient