Question

Let's say that two other individuals conduct a similar test as above. Person 1 samples 10 dentists and finds that 8 recommend activated charcoal toothpaste (n = 10,). Person 2 samples 1000 dentists and finds that 800 recommend activated charcoal toothpaste (n= 1000,). a. Conduct a z-test for proportions against p = 0.9 for each person using the 6-step process. Use alpha = 0.05. b. Construct a 95% confidence interval for the population proportion for each person. C. Between you, person 1, and person 2, who has the strongest evidence against the null hypothesis (p = 0.9)? Why?

Answer 1

Answer:-
1 Given, n=1000, K =800 = 800 0.8 1000 @ Hoi p=019 Ho: p=019, HiP +0.9 к Test statistic i Z =P_P PLI-P) n 018-019 0.961-019 1000 - 101541 - 2=0.05 ) critical Value +1.96 Decision : Reject Ho conclusion this is sufficient evidence against the null hypothesipi p=0.9 (6) 95% confidence interval for population proportion pis (P+2 PCI- (0.81 1.96 0.801-018) 1000

= (0.87 0.0248) (017752, 016248) (c) There is sufficient evidence against the null hyrs thesis P=0.9. Because the confidence interval does not include the value oia