500 draws are made at random from the box containing 60,000 tickets labeled 0 and 20,000 tickets labeled 1. Draw a picture as I did at the beginning of Lecture 52 to illustrate doing this repeatedly and keeping track of the sample percentage of 1’s. Now answer TRUE or FALSE for each, and explain briefly: (a) The expected value for the percentage of 1’s among the draw is exactly 25%. (b) The expected value for the percentage of 1’s among the draws is around 25%, give or take 2% or so. (c) The percentage of 1’s among the draws will be around 25%, give or take 2% or so. (d) The percentage of 1’s among the draws will be exactly 25%. (e) The percentage of 1’s in the box is exactly 25%. (f) The percentage of 1’s in the box is around 25%, give or take 2% or so.

Not all visitors to a certain company's website are customers or potential customers. In fact, the company's executives estimate that about 10% of all visitors to the website are looking for other websites. Assume that this estimate is correct and that a random sample of 40 visitors to the website is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of visitors in the sample who actually are looking for the company's website by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column variable and 4 categories in the row variable. You collect data from 553 subjects.What are the degrees of freedom for the χ2 distribution for this test? d.f. =

Question 9.2 - Sampling Distribution for the Mean Please solve the problem with simple probability rules

Not all visitors to a certain company's website are customers or potential customers. In fact, the company's executives estimate that about 12% of all visitors to the website are looking for other websites. Assume that this estimate is correct and that a random sample of 40 visitors to the website is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of visitors in the sample who actually are looking for the company's website by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.