A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: H₀: p = 0.6 and H_A: p > 0.6.

The shop owner collected data from 50 randomly selected customers.

List and verify that the conditions hold so that the sampling distribution of the z-test statistic will approximately follow the standard Normal distribution.