25.
p hat = 0.181
341.84 is greater than 10, the sample is less than 5% of the population
Lower bound = 0.168 Upper bound = 0.194
We are 90% confident that the population proportion of adult Americans 18 years and older who have donated blood is between 0.168 and 0.194
26.
p hat = .4302
213.38 is greater than 10, the sample size is less than 5%
(4015,4585)
95% confident
27.
p hat = 0.519
250.39 is greater than 10, sample is less than 5% of the population
lower bound= 0.488 uppwe vouns =0.550
It is possible that the population proprtion is more than 60%, because it is possible that the true proportion is not captured in the confidence interval. However, it is not likely because 0.6 is outside of the confidence interval
1-0.550 = 0.450 1-0.488= 0.512
28.
p hat = .7500
192 is greater than 10, the sample is 5% less than the population
.7500 + 2.71 `.7500 - 2.71
99% confident
1 - 0.550 1-0.488
29.
p hat = 0.111 Lower bound: 0.071 Upper bound: -.151
Lower bound: 0.058 Upper bound: 0.164
Increasing the confidence level increases the margin of error