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Nina [5.8K]
3 years ago
15

2a. According to a Pew Research survey, about 25% of American adults are pessimistic about the future of marriage and the family

. This is based on a sample, but assume this percentage is correct for all American adults. What is the probability that in a sample of 20 American adults, 23% or fewer of the people in the sample are pessimistic about the future of marriage and family
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer: 0.4181807

Step-by-step explanation:

Probability that American adults are pessimistic about the future of marriage and the family: p= 0.25

Sample size n= 20

Let \hat{p} be the sample proportion of American adults that are pessimistic about the future of marriage and the family.

P(\hat{p}\leq0.23)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Hence, the required probability = 0.4181807

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