A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is H0: P=0.26 and the alternative hypothesis is Ha: P> 0.26. The researcher collected data from a random sample of 75 adults in the region of interest.
(a) Verify that the normality assumption is satisfied. Describe each separately.
(b) To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue-collar" jobs to see whether their drinking habits are in the same proportion as the general public.
The null hypothesis for this test is H0: P=0.26 and the alternative hypothesis is Ha: P>0.26. The researcher computer the test statistic to be 1.59.
Draw a graph of z distribution, label the test statistic and shade the p-value associated with this test statistic.