According to a poll, approximately 49% of americans spent over $500 on holiday presents in 1998. suppose you took a random sample of 120 shoppers and found that 71 spent over $500 on holiday presents in 1999. using a null hypothesis that the proportion is .49 and an alternative that the proportion is greater than .49, what would a hypothesis test suggest about the proportion of people spending over $500 on holiday presents?

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95