8.39 Sampling at a party. At a large block party there ar 40 mn al 30 wmen. You

Question

8.39 Sampling at a party. At a large block party there ar 40 mn al 30 wmen. You wanf f ask opinins aboui how to improve the next party. You choose at random 4 of the men and separately choose at random 3 of the women to interview. a What is the probability that any of the 40 men is in your random sample of 4 men to be interviewed? What is the prob- ability that any of the 30 women is in your random sample of 3 women to be interviewed? (b) If you have done the calculations correctly in part (a), the probability of any person at the party being interviewed is the same. Why is your sample of 7 men and women not an SRS of people from the party?

Explanation / Answer

we are given 40 men and 30 men in the group ,

so probability that 4 men can be chosen out of 40 men is

4/40 = 1/10 = 0.1

and 3 women can be chosen out of 30 women is again

3/30 = 1/10 = 0.1

hence both the probabilites are the same

b)

SRS men that when all the people in the group stand a equal chance of selection. However, in this case we are creating seperate blocks of men and women and then we select 4 men and 3 women from these groups seperately. Hence this is not a case of SRS

. Had we selected our 7 people from the whole population then the proability would have been

7/ 70 = 0.1 but the method of selection is different .

Please note that we can answer only 1 full question at a time , as per the answering guidelines

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