Calculate the following probabilities, show your calculation set ups and round a

Question

Calculate the following probabilities, show your calculation set ups and round answers to 3 decimal places a) What is the probability that a woman respondent says that she will give money at least some of the time when people ask? b) What is the probability that someone who says that they will give to males only will be a man? c) What is P(not give)? Test the hypothesis at the alpha = .10 level of significance that preference in giving is independent of the gender of the donor. d) Identify the variables and the implied population in this problem e) Give the null and alternate hypotheses. f) State what distribution you will use and why. What test do you run with your calculator? g) Give the test statistic and the corresponding p-value. h) State your conclusion for the test and interpret your conclusion in the context of problem.

Explanation / Answer

4a) probabilty =(14+8+7)/40=29/40

b) probabilty =6/14

c)P(not give)=20/80=1/4

d) variables is gender tpye count and population is totla number of people who would like to donate or not when asked

e) null hypothesis:Ho: preference is indepednent of gender

alternate hypothesis: preference is dependent on gender

f) we will use chi distribution and run test for goodness of fit

g)

g) from above chi stat =1.375 for which p value =0.7115

h)as p value is very hiogh we can not reject null hypothesis

Observed O to female to male to both to none Total women 7 8 14 11 40 men 11 6 14 9 40 Total 18 14 28 20 80 Expected E=rowtotal*column total/grand total to female to male to both to none Total women 9.000 7.000 14.000 10.000 40 men 9.000 7.000 14.000 10.000 40 Total 18 14 28 20 80 chi square =(O-E)^2/E to female to male to both to none Total women 0.444 0.143 0.000 0.100 0.687 men 0.444 0.143 0.000 0.100 0.687 Total 0.889 0.286 0.000 0.200 1.375

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