A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 67%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test.

2. Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least once a week was found to be (0.2534, 0.3894). decision a. For the null and alternative hypothesis: Ho: p = 0.40 versus Ha: p # 0.40, what is for this test of hypothesis? your b. Based on the CI, which of the following statements gives the best conclusion about the true value of the proportion of adults that regularly attend a tae kwon do class at least once a week? i. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is greater than 40%. ii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is different than 40% iii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is less than 40% iv. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week equals…

According to MessageLabs Ltd., 80% of all email sent in July 2010 was spam. A system manager at a large corporation believes that the percentage at his company may be greater than 80%, and he wants to run a hypothesis test to see if there is evidence to support his belief. He examines a random sample of 500 emails received at an email server and finds that 420 of the messages are spam. Calculate the test statistic. Keep as many decimal places as you can when you are working with the denominator. Round the final answer to two decimal places.