Question 4) According to the U.S. Census Bureau, roughly 11% of adults aged 25 y

Question

Question 4) According to the U.S. Census Bureau, roughly 11% of adults aged 25 years or older have an advanced degree. Suppose a random sample of 200 adults aged 25 years or older is obtained Describe the sampling distribution of who have an advanced degree. the sample proportion of adults aged 25 years or older In a random sample of 200 adults aged 25 years or older, what is the probability that no more than 9% have an advanced degree? In a random sample of 200 adults aged 25 years or older, what is the probability that 30 or more have advanced degrees? .

Explanation / Answer

Ans:

a)Sampling distribution of sample proportion

mean=0.11

standard deviation=sqrt(0.11*0.89/200)=0.022

b)

z=(0.09-0.11)/0.022=-0.904

P(z<=-0.904)=0.1830

c)sample proportion=30/200=0.15

z=(0.15-0.11)/0.022=1.808

P(z>=1.808)=0.0353

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