There were 6000 randomly selected Californians surveyed. Approximately 9.7% of t

Question

There were 6000 randomly selected Californians surveyed. Approximately 9.7% of the sample were Californians under 65 years who do not have health insurance. a. Find a 95% confidence interval estimating the population proportion of Californians who are under 65 years with no health insurance. Round answer to three significant digits. b. Approximately 3.3% of people in Massachusetts are under 65 years without health insurance. Is it correct to claim that the proportion of people in Massachusetts who are under 65 years without health insurance is the same as the proportion in California? Explain in one sentence using the answer from Part a.

Explanation / Answer

Part-a

95% confidence interval for population proportion = phat±1.96*sqrt(phat*(1=phat)/n)

=0.097±1.96*sqrt(0.097*(1-0..097)/6000)

=(0.090            0.104)

Part-b

AS 0.033 is not included in the 95% confidence interval so it not correct to claim that the proportion of people who are under 65 years without health insurance is same as 0.033.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.