Use the following information for questions 11 - 15: A local news agency reports that 45% of a city's adult population regularly uses supplemental vitamins. A manager at a local grocery store believes that number is too low and collects data from 340 randomly selected adults from the city to test his claim. The data is summarized in the table. Adults Surveyed Does Regularly 11. State the null and alternative hypotheses. Take Supplemental Vitamins 173 Does Not Regularly 167 Take Supplemental Vitamins Total 340 12. Compute the z-test statistic (round to 2 decimal places) and corresponding p-value (round to 3 decimal places). 13. What conclusion is drawn from the hypothesis test at a 0.05 significance level? 14. What is the 90% confidence interval for estimating the proportion of the city's adult population who takes supplemental vitamins regularly? Write interval in percent form, rounded to 1 decimal place. 15. Is it plausible that half the adult population is taking supplemental vitamins? Explain.