Complete question :
Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"
Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.
If a population is 5000
Answer:
blank A: 3450
blank B: 3750
Step-by-step explanation:
Number of inhabitants surveyed = 880
Population size = 5000
Error margin = 3%
Percentage that answered 'yes' = 72%
The confidence interval :
Mean ± Error margin
Lower Bound = 72% - 3% = 69% = 0.69
Upper bound = 72% + 3% = 75% = 0.75
Since the question want us know the overall inhabitants of the kingdom who fall between this interval :
Blank A = lower boundary = 0.69 * 5000 = 3450
Blank B = upper boundary = 0.75 * 5000 = 3750
