a. 13. Using the positivity rate for May, find the probability that one out of the next 15 people tested will be positive. 14. During May, you surveyed 200 people who had a COVID 19 test in Ontario and found that 20 had a positive result. What is the probability that this survey represents all of Canada for May? Suggest ways in which you could improve on your survey. 15. Construct a 95% confidence interval for the studies proportion in May using the national proportion b. using only the sample proportion 16. Determine an appropriate sample size if the acceptable error was 1%. 17. Use Hypothesis testing to compare April's average daily cases to May. April had 7900 new cases per day. 18. Determine the line of best fit for daily deaths in May and the correlation. If this equation holds when will deaths become zero? Is this a realistic assumption? 19. Perform a chi-square test on the data comparing new cases in March, April and May in Canada against new cases in India and the United States. Is there a relationship? Country March April May Canada 114,416 237,308 India 1,109,424 6,943,304 9,010,075 United States 1,813,675 1,885,731 916,746 1 New Cases Tested Oct-2022 Deaths Recovered 2 8450 42 7392 150510 3 02-05-2021 7828 39 6857 126896 4 03-05-2021 7565 40 9220 141190 5 04-05-2021 6688 53 7498 111601 6 05-05-2021 7390 57 8353 118179 8299 138592 7 06-05-2021 8001 37 8 07-05-2021 7826 42 7916 142659 9 08-05-2021 7398 51 6929 140834 10 09-05-2021 7297 62 6900 107001 11 10-05-2021 6338 40 8427 90029 12 11-05-2021 5382 31 7141 120569 13 12-05-2021 6212 52 7509 133776 14 13-05-2021 6619 60 7780 129090 15 14-05-2021 6000 43 8014 130406 16 15-05-2021 5710 40 6748 123074 17 16-05-2021 5396 40 6423 98467 18 17-05-2021 4588 33 8189 110108 19 18-05-2021 4034 37 6893 76001 20 19-05-2021 4247 48 7339 85837 21 20-05-2021 5052 45 6652 109518 22 21-05-2021 4682 51 6623 115414 23 22-05-2021 4000 41 5675 104070 24 23-05-2021 3738 28 5491 73772 25 24-05-2021 3151 42 6398 61928 26 25-05-2021 2502 50 5773 96538 27 26-05-2021 2592 37 5634 56992 28 27-05-2021 2965 49 5598 77218 29 28-05-2021 3204 31 5374 100596 30 29-05-2021 2718 45 4516 100197 31 30-05-2021 2473 35 4076 66999 32 31-05-2021 2109 27 4758 72716 33 34 35 a. 13. Using the positivity rate for May, find the probability that one out of the next 15 people tested will be positive. 14. During May, you surveyed 200 people who had a COVID 19 test in Ontario and found that 20 had a positive result. What is the probability that this survey represents all of Canada for May? Suggest ways in which you could improve on your survey. 15. Construct a 95% confidence interval for the studies proportion in May using the national proportion b. using only the sample proportion 16. Determine an appropriate sample size if the acceptable error was 1%. 17. Use Hypothesis testing to compare April's average daily cases to May. April had 7900 new cases per day. 18. Determine the line of best fit for daily deaths in May and the correlation. If this equation holds when will deaths become zero? Is this a realistic assumption? 19. Perform a chi-square test on the data comparing new cases in March, April and May in Canada against new cases in India and the United States. Is there a relationship? Country March April May Canada 114,416 237,308 India 1,109,424 6,943,304 9,010,075 United States 1,813,675 1,885,731 916,746 1 New Cases Tested Oct-2022 Deaths Recovered 2 8450 42 7392 150510 3 02-05-2021 7828 39 6857 126896 4 03-05-2021 7565 40 9220 141190 5 04-05-2021 6688 53 7498 111601 6 05-05-2021 7390 57 8353 118179 8299 138592 7 06-05-2021 8001 37 8 07-05-2021 7826 42 7916 142659 9 08-05-2021 7398 51 6929 140834 10 09-05-2021 7297 62 6900 107001 11 10-05-2021 6338 40 8427 90029 12 11-05-2021 5382 31 7141 120569 13 12-05-2021 6212 52 7509 133776 14 13-05-2021 6619 60 7780 129090 15 14-05-2021 6000 43 8014 130406 16 15-05-2021 5710 40 6748 123074 17 16-05-2021 5396 40 6423 98467 18 17-05-2021 4588 33 8189 110108 19 18-05-2021 4034 37 6893 76001 20 19-05-2021 4247 48 7339 85837 21 20-05-2021 5052 45 6652 109518 22 21-05-2021 4682 51 6623 115414 23 22-05-2021 4000 41 5675 104070 24 23-05-2021 3738 28 5491 73772 25 24-05-2021 3151 42 6398 61928 26 25-05-2021 2502 50 5773 96538 27 26-05-2021 2592 37 5634 56992 28 27-05-2021 2965 49 5598 77218 29 28-05-2021 3204 31 5374 100596 30 29-05-2021 2718 45 4516 100197 31 30-05-2021 2473 35 4076 66999 32 31-05-2021 2109 27 4758 72716 33 34 35