Question

A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years age. Five years age, a sample of 270 students showed that 120 considered themselves overweight. This year a poll of 300 students showed that 140 considered themselves overweight. At a 5% level of significance, test to see if there is any difference in the proportion of college students who consider themselves overweight between the two polls. What is your conclusion?

Answer 1

Let p₁ be the required proportion for the poll taken 5 years ago and p₂ be the required proportion for the poll taken now.

The null and alternate hypothesis are:

H0:

Ha:

The test statistic value is given by:

Since this is a two-tailed test, the p-value is given by:

Since the p-value is greater than 0.05, so we do not have sufficient evidence to reject H0.

So, we say .