# Performing Hypothesis Testing

Using a hypothesis test with a well known 4 step procedure, state your conclusion for the 0.05 significance level:

A. Based on responses from 1,015 randomly selected teens, which concluded that 44% of teens say grades are the greatest source of pressure, test the claim that fewer than half of all teens in the population feel that grades are the greatest source of pressure.

B. 276,000 students were asked about their attitudes on a variety of subjects. From a 2000 survey, 51% of second year students believe that abortion should be legal, down from 65% in 1985. Test the claim that over half of all second year students believe that abortion should be legal.

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A. Based on responses from 1,015 randomly selected teens, it was concluded that 44% of teens say grades are the greatest source of pressure. Test the claim that fewer than half of all teens in the population feel that grades are the greatest source of pressure.

Solution: We can set up the null and alternative hypotheses

- the null hypothesis H0: p=p*=50%

- the alternative hypothesis H1: p<50%

Now we have a sample with size n=1015 and get the sample mean of proportion of teens in the population feel that grades are ...

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