In a simple random sample of 800 people age 20 and over in a certain country, the proportion with a certain disease was found to be 0.165 (or 16.5%). Complete parts (a) through (c) below. a. What is the standard error of the estimate of the proportion of all people in the country age 20 and over with the disease? (Round to four decimal places as needed.) b. Find the margin of error, using a 95% confidence level, for estimating this proportion. m=(round to three decimal places as? needed.)c. Report the 95% confidence interval for the proportion of all Americans age 20 and over with diabetes.

Acompany manufactures hair dryers. it buys some of the components, but it makes the heating element, which it can produce at the rate of 920 per day. hair dryers are assembled daily, 250 days a year, at a rate of 360 per day. because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,300 units. a. approximately how many batches of heating elements are produced annually? b. if production on a batch begins when there is no inventory of heating elements on hand, how much inventory will be on hand 4 days later? c. what is the average inventory of elements, assuming each production cycle begins when there are none on hand?

Alarge university wanted to study the relationship between completing an internship during college and students' future earning potential. prom the same graduating class, they selected a random sample of 80 students who completed an internship and 100 students who did not complete an internship and examined their salaries five years after graduation. they found that there was a statistically higher mean salary for the internship group than for the noninternship group. which of the following interpretations is the most appropriate? a. there could be a confounding variable, such as student major, that explains the difference in mean salary between the internship and no internship groups. b. we cannot infer anything from these data since the distribution of salaries is likely right skewed. c. you cannot draw any valid conclusions because the sample sizes are different. d. more students should complete internships because having an internship produces a higher salary.

You are bearish on telecom and decide to sell short 100 shares at the current market price of $50 per share. a. how much in cash or securities must you put into your brokerage account if the broker’s initial margin requirement is 50% of the value of the short position? b. how high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? (input the amount as a positive value. round your answer to 2 decimal places.)