3. (5 points) A study was conducted in 1991 recording education level and use of

Question

3. (5 points) A study was conducted in 1991 recording education level and use of feminist art theory in work among members of the Atlanta art community (T.H. Bradford and L . Idleman (1991)Are education and use of feminist art theory independent? Use of Feminist Theory NoSomewhat YesTo Total High School 221 20 34 Education |Bachelor's 39 16 63 Master's PhD Total 23 50 16 163 86 59 18 a. State the null and alternative for the Chi-square test of independence. Which off the following conditions must be met in order to carry out a Chi-Square test of independence? Circle all that apply a. Each cell must have at an expected count of at least 1 5) The average of the expected cell counts must be at least 5. c. The sample size must be at least 30 d Each observation must be independent. e. The data must come from a normal distribution b. e statistic_ Calculate the p-value. (If you weren't able to calculate the chi-square statistic in part c, use 20.00. This is not the correct answer.) what is the conclusion at the =0.10 level? d. e, a. Members with a PhD are more likely to use feminist art theory b. Members with a High School education are least likely to use feminist art theory Education level and use of feminist art theory are not related. Education level and use of feminist are theory are related. c. d.

Explanation / Answer

a) null hypothesis:Ho: education and feminist art theory are independent

alternate hypothesis:Ha:  education and feminist art theory are dependent

b) option B and D are correct

c) applying chi square test of independence:

for above chi square test statistic =12.7422

d) for degree of freedom =(row-1)*(column-1) =(4-1)*(3-1) =6

for 6 df and above test statistic ; p vlaue =0.0473

e)

option D is correct

Observed O no somewhat yes Total High school 22 11 1 34 bachelor 39 16 8 63 Master 20 23 7 50 PHD 5 9 2 16 Total 86 59 18 163 Expected E=rowtotal*column total/grand total no somewhat yes Total High school 17.939 12.307 3.755 34 bachelor 33.239 22.804 6.957 63 Master 26.380 18.098 5.521 50 PHD 8.442 5.791 1.767 16 Total 86 59 18 163 chi square =(O-E)^2/E no somewhat yes Total High school 0.9195 0.1388 2.0209 3.079 bachelor 0.9984 2.0299 0.1563 3.185 Master 1.5432 1.3277 0.3959 3.267 PHD 1.4032 1.7776 0.0308 3.212 Total 4.864 5.274 2.604 12.7422

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