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The next two questions refer to the following information: A researcher would like to estimate p, the proportion of U. adults who support recognizing...

3.The next two questions refer to the following information: A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian couples.

If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?

A.17,778

B.4,445

C.1,112

D.67

E.45

4.Due to a limited budget, the researcher obtained opinions from a random sample of only 2,222 U.S. adults. With this sample size, the researcher can be 95% confident that the obtained sample proportion will differ from the true proportion (p) by no more than (answers are rounded):

A..04%

B..75%

C.2.1%

D.3%

E.There is no way to figure this out without knowing the actual sample proportion that was obtained.

5.A researcher is funded to obtain an estimate for the population proportion of smokers who have tried using e-cigarettes. She plans to interview 100 smokers. Previous studies have estimated that 20% of smokers have tried e-cigarettes.

The researcher decides to present the 99% confidence interval. What is the best interpretation for this interval?

A.She is 99% confident that the sample proportion is within the interval.

B.There is 99% likelihood that another sample of 100 will have an overlapping confidence interval.

C.She is 99% confident that the population parameter is within the interval.

D.There is a 1% probability that the population parameter is higher than the interval.

6.A public health department wants to determine the rate that parents of teen boys are choosing to vaccinate their sons for HPV within the state of Indiana. They conduct a survey of 64 randomly selected families of teen boys. 

They found that 12% of families had chosen to vaccinate. Which of the following is true?

A.The 95% confidence interval is 12% ± the margin of error*standard deviation

B.The confidence interval should not be calculated due to the small sample size

C.A 99% confidence interval will be smaller than the 90% confidence interval

D.The central limit theorem applies to proportions only when the population standard deviation is known

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