25.
.181
2306 * .181 (1-.181) = 341.84 >10 Sample is less than 5% of population
Lower Bound = .168 Upper Bound = .194
We are 90& confident that the population proportion of adults who have given blood in the last two years is between .168 and .194.
26.
496/1153 = .4302
1153 * .4302 (1-.4302) = 282.62 >10 , sample is less than 5% of population
Lower Bound = .0223 Upper Bound = .03485
We are 95% confident that the proportion of workers and retirees aged 25 and older that have less than $10,000 in savings is in between .0223 and .0349.
27.
.519
250.39 > 10, sample is less than 5 % of the population
Lower bound = .488 Upper bound = .550
d)It is possible that the proportion is more than 60%, because it is not guaranteed that the true prpoportion is captured in the conifedence interval, however it is unlikely because it is not in the interval.
28.
768/1024 = .75
192 > 10, sample is les than 5% of population
Lower Bound = .02469 Upper Bound = .04499
It is possible, but extremely unlikely because we are 99% sure the proportion is in between .02469 and .04499
Lower Bound = .03146 Upper Bound = .03822
29.
.111 Lower Bound = .071 Upper Bound = .151
Lower Bound = .058 Upper Bound = .164
Increasing the confidence level increases the margin of error.