please these are the questions below. thank you bestie!
1. Which of the following best describes a two-sample hypothesis test? (1 point) a) a test where we compare a statistic to a fixed value b) a test where we compare two statistics to one another c) a test where we determine the percentile ranking of a case in our data 2. You interested in the average amount of money people who graduate from UTM make compared to those who graduate from Brock. Let's assume that the UTM graduates actually make more money on average. However, you draw an unusual sample of UTM and Brock graduates, and find that the mean incomes of the two groups are not significantly different from one another (i.e., you get the answer wrong). What type of error is this? (1 point) a) Type I b) Type II c) Type III 3. What can a p-value tell us? (2 points) a) whether there is a real pattern in our data (i.e., a real result, not due to chance) b) how important our result is c) how large our result is (i.e., smaller p-values mean a bigger result) d) the probability that our result would happen by chance, given the assumptions of our hypothesis test e) both a and d f) both a and c g) both b and cYou are responsible for hiring for your law firm. Your firm has a policy of hiring experienced lawyers that are able to win more than 75% of their cases. Mr. Jones has applied for a job. You take a random sample of his cases from the last 3 years, and record whether or not he won each one. This information is given in the table below. Use this information to answer questions 4-7. Case Win? 1 yes 2 yes 3 yes 4 yes 5 no 6 yes 7 yes 8 no 9 yes 10 yes 11 yes 12 yes4. What is the null hypothesis? (1 point) a) the proportion of cases won is greater than 0.75 b) the proportion of cases won is equal to 0.75 c) the proportion of cases won is less than 0.75 d) the proportion of cases won is equal to 0.83 5. Which of the following is the standard error that you should use in calculating your test statistic? (2 points) a) 0.11 b) 0.13 c) 0.18 d) 0.64 6. Complete your hypothesis test, using an alpha level of 0.05. What can you conclude based on your results? (2 points) a) Mr. Jones wins more than 75% of his cases b) Mr. Jones wins less than 75% of his cases c) Mr. Jones wins exactly 75% of his cases d) We cannot be sure that Mr. Jones wins more than 75% of his cases 7. Based on your results, should you hire Mr. Jones? (1 point) a) Yes b) No You are responsible for buying office supplies for your business. You are considering products from two companies, and want to use ratings from past users to help you decide which company to buy from. Ratings are on a scale of 0 to 5. You randomly sample 6 ratings from each company, as shown in the table below. Company A Company B 3.5 5.0 4.0 5.0 3.5 4.5 2.0 3.0 4.0 4.0 4.5 4.5Compare the mean ratings of the two companies using a two-sided hypothesis test, using a confidence level of 90%. Use your calculations to answer questions 8-10. (Here is a freebie to speed up your calculations: the standard deviation of Company A is 0.86, and the standard deviation for Company B is 0.75). 8. What is the standard error of the difference between the mean ratings of the two companies? (2 points) a) 0.47 b) 0.61 c) 1.10 d) 1.30 9. If you want 90% confidence in your results, which critical t value should you use (Le., your test statistic should be bigger than which of the following)? (1 point) a) 1.64 b) 1.81 c) 2.04 d) 2.28 10. What conclusions can you draw based on your results? (3 points) a) With 90% confidence we can say that Company A's ratings are higher than the ratings for Company B. b) With 90% confidence we can say that Company B's ratings are higher than the ratings for Company A. c) With 90% confidence we can say that ratings for Company A and Company B are exactly the same. d) We cannot say with 90% confidence whether the average ratings for Company A and Company B are different
