2. It is estimated that 20.6% of all adults in the U.S. are uninsured. You take...

2. It is estimated that 20.6% of all adults in the U.S. are uninsured. You take a random sample of 10 adults from Sweetwater County.
(a) What is the probability that exactly 4 are uninsured?
(b) What is the probability that none of them are uninsured?
(c) You take another sample of 40 adults from Sweetwater County. You find that 10 out of these 40 adults are uninsured. When compared to the national percentage, is this an unusual sample? Why or why not? Support your conclusion with specific calculations.
(d) Use the sample proportion from (c), and calculate a 95% confidence interval for the population proportion, and interpret the result. What is the population in this case?
(e) If the margin of error needs to be reduced to 2.1%, what is the needed sample size? Keep the confidence level at 95%.

Expert Solution

With 95% confidence we can say that the population proportion of uninsured adults will lie within this interval

Here our population is the Adults in the US

Needed sample size = 1633

orchestra answered 2 years ago

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