Based on the results of the hypothesis test, what should the medical students decide and conclude? Fail to reject the null hypothesis. There is insufficient evidence that the proportion of adults with diabetes who only use insulin for treatment differs from 14%. Fail to reject the null hypothesis. There is sufficient evidence that the proportion of adults with diabeteswho only use insulin for treatment differs from 14%. Reject the null hypothesis. There is sufficient evidence that the proportion of adults with diabetes who only use insulin for treatment differs from 14%. Reject the null hypothesis. There is insufficient evidence that the proportion of adults with diabetes who only use insulin for treatment differs from 14%

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)