In the sample of 605 women, they reprt that their ideal average number of children is...

In the sample of 605 women, they reprt that their ideal average number of children is 3.41 with standard deviation of 1.92 in the sample of 640 men they report that their ideal number of children is 2.99 with standard deviation of 1.94. test the hypothesis that men and women prefer a different number of children.

Expert Solution

we have to test

sample size for women =n1=605

sample mean for women=m1=3.41

sample SD for women =S1=1.92

sample size for men =n2=640

sample mean for men =m2=2.99

sample SD for men=S2=1.94

since sample size is more than 30 so we will use Z statistics also for this sample size we can assume population SDs are not equal now test statistics is given by

Now

P-Value =2*P(Z>3.84)=2*0.000062=0.000132

since P value is very low so we will reject H0 Hence

there is significant evidence to support the claim that ideal average number of childrens for womens is different from that of mens.

orchestra answered 2 years ago

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