MIH 1111B Basic Statistics F17 Homework: Chapter 18 Assignment Score: 0 of 1 pt
ID: 3322077 • Letter: M
Question
MIH 1111B Basic Statistics F17 Homework: Chapter 18 Assignment Score: 0 of 1 pt 18.1.23-T Sa 4 of 6 (3 complete) Hw Score: 45.83% , 2.75 of Question Help . A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5398 donations. (a) Give a 90% confidence interval for tbe true proportion of those from their entire mailing list who may donate. (b) A staff member thinks that the true rate is 5.4%. Given the confidence interval you found, do you find that rate plausible? (a) What is the 90% confidence interval? The 90% confidence interval is from 96 to LJM (Round to two decimal places as needed.)Explanation / Answer
a) Answer is (5.28, 5.52)
sample proportion 'p' = 5398/100000 = 0.05398
q = 0.94602
n = 100000
Z critical = 1.645
90% CL =
= (p ± Z critical * pq/n)
= (0.05398 ± 1.645 * 0.05398*0.94602/100000)
= (5.28, 5.52)%
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