4. A Gallup Poll asked a random sample of U.S. adults, \"Would you like to lose

Question

4. A Gallup Poll asked a random sample of U.S. adults, "Would you like to lose weight?" Based on this poll, the 95% confidence interval for the population proportion who want to lose weight is (0.50, 0.65). (a) What is the point estimator? (b) What is the point estimate from this sample? (c) What is the margin of error? (d) Interpret the confidence interva (e) Interpret the confidence level. (d) Based on this poll, Gallup claims that more than half of U.S. adults want to lose weight. Use the confidence interval to evaluate this claim

Explanation / Answer

a)
Here point estimator is proportion

b)
ME = (0.65 - 0.5)/2
ME = 0.075

Point estimate = 0.5 + 0.075 = 0.575

c)
ME = (0.65 - 0.5)/2
ME = 0.075

d)
There are 95% chances that any sample of same size has true proportion between 0.5 and 0.65.

e)
95% is the confidence level.

f)
As 0.5 lies in within the confidence interval, we fail to reject the null hypothesis.
There are not significant evidence to conclude that more than half of US adults want to lose weight.

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