In a recent poll of 1000 randomly selected adults, a president's approval rating stood at 51 %. a) make a 90% confidence interval for his approval rating by all adults in the country. b) based on the confidence interval, test the null hypothesis that 51% of the country approved of the way he was handling his job at that time.

Jamie is saving for a trip to europe. she has an existing savings account that earns 3 percent annual interest and has a current balance of $4,200. jamie doesn’t want to use her current savings for vacation, so she decides to borrow the $1,600 she needs for travel expenses. she will repay the loan in exactly one year. the annual interest rate is 6 percent. a. if jamie were to withdraw the $1,600 from her savings account to finance the trip, how much interest would she forgo? .b. if jamie borrows the $1,600 how much will she pay in interest? c. how much does the trip cost her if she borrows rather than dip into her savings?

Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false

Paying attention to the purpose of her speech, which questions can she eliminate? a. 1 and 2 b. 3 c. 2 and 4 d. 1-4