Question

found that the fear of losing the good opinion of one’s family and peers kept people from driving home drunk. Let’s say we have two independent random samples of people: those who think that their peers would disapprove of them from driving drunk, and those who think that their peers would either not care or approve of their driving drunk. We ask each person in each group to self-report the number of times that he or she has driven drunk in the past year. The results are in the table above.

Test the null hypothesis that the two population means are equal against the alternative hypothesis that the group whose peers would not approve of driving drunk has a lower mean rate of driving drunk. In your hypothesis test, assume that the unknown population standard deviations are unequal (σ₁ ≠ σ₂), and use an alpha level of .01.

WHAT IS THE NULL AND ALTERNATIVE HYPOTHESIS?

Answer 1

here we have  two independent random samples of people: those who think that their peers would disapprove of them from driving drunk, and those who think that their peers would either not care or approve of their driving drunk

let is mean of those who think that their peers would disapprove of them from driving drunk

is mean of  who think that their peers would either not care or approve of their driving drunk

then null and alternative hypothesis would be