Use the Following Information to Answer the Question

Essay

Use the following information to answer the question. A health foods shop owner is wondering if his customer's 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 hypothesis: H₀: p = 0.6 and H_a: p > 0.6. The shop owner collected data from 50 randomly selected customers.
-To continue the study, the shop owner decides to collect data from 60 customers between the ages of 22 and 27 to see whether the proportion in this age group is different from the general population of adults. From this sample, 26 reported that they took a daily vitamin. The null hypothesis for this test is H0: p = 0.6. and the alternative hypothesis is :Ha: p × 0.6. Assume that the conditions that must be met in order for us to use the N(0, 1)distribution as the sampling distribution are satisfied. Find the values of the sample proportion, p^, the observed test statistic, and the p- value associated with this observed value. Round all values to the nearest thousandth.