**Rules for t versus z:The rule going forward is always use t-scores for tests/CIs about means and regression coefficients and always use z for tests/CIs about proportions

Problem 1: True or False

a) The null hypothesis represents the status quo to the party performing the hypothesis test.

b) If you specify to be 0.36, is 0.64.

c) The larger the p-value in a test of hypotheses, the more significant the results are.

Problem 2: A new weight-reducing technique is tested by the FDA. 64 individuals are surveyed before and after they engage in the weight-reducing technique. The average weight loss was five pounds, with a standard deviation of the weight loss of 2.68.

a) Test to determine if the diet is effective, using =0.10. Make sure to specify the null and alternative hypotheses, the test statistic and the decision rule.

b) What is the 95% confidence interval for