please type the answers so I can be able to read it and show work it is mandator

Question

please type the answers so I can be able to read it and show work it is mandatory

A sports preference poll showed the following data for men and women. What is the expected value of the number of men who prefer football as their favorite sport? A. 36 B. 30.8 C. 12.857 D. 1.951 44. What is the expected value of the number of women who prefer tennis as their favorite sport? A. 42 B. 26 C. 18.9 D. 9.45 What is the contribution to the chi-square test statistic for the women who prefer tennis as their favorite sport? A. 42 B. 26 C. 18.9 D. 9.45 E. 2.6672 What is the critical bound for the chi-square test statistic at the 0.05 level of significance? A. 20.483 B. 18.307 C. 16.919 D. 9.488 E. 7.779

Explanation / Answer

Ans:

Expected count=row total*column total/overall total

43)Expected number of men who prefer football=56*110/200=30.8

Option B is correct.

44)Expected number of women who prefer tennis=42*90/200=18.9

Option C is correct.

45)Chi square contribution from women who prefer tennis=(26-18.9)2/18.9=2.667

Option E is correct.

46)degree of freedom(df)=(2-1)*(5-1)=4

Critical chi square for 0.05 significance level and df=4 is 9.488

Option D is correct.

All Expected counts and chi square scores are calculated for your reference:

Observed(O) Baseball Basketball Football Golf Tennis Total Men 28 14 36 16 16 110 Women 12 20 20 12 26 90 Total 40 34 56 28 42 200 Expected(E) Baseball Basketball Football Golf Tennis Total Men 22 18.7 30.8 15.4 23.1 110 Women 18 15.3 25.2 12.6 18.9 90 Total 40 34 56 28 42 200 Chi square=(O-E)^2/E 1.636 1.181 0.878 0.023 2.182 2.000 1.444 1.073 0.029 2.667 Total chi square=1.636+1.181+0.878+0.023+2.182+2+1.444+1.073+0.029+2.667=13.114

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