A Gallup poll from January found that only of adult Americans planned on watching a great dealfair amount of the Winter Olympic Games. This information can be used to estimate the population proportion of adult Americans who plan to watch the Winter Olympics.
a What additional information do you need in order to determine a confidence interval for the probability that a randomly selected American adult plans to watch a great deal of the Winter Olympics? Select We need the standard deviation.", We need the sample size.", We need the sample statistic."
b Consider three possible sample sizes for this study: and Without performing any calculations, how do you expect the three confidence intervals' widths to compare? Be sure you can explain your reasoning. Select ACBD
All of these confidence intervals would have the same width.The sample of size will produce a confidence interval with the largest width, the sample of size will produce a confidence interval with the second largest width, and the sample of size will produce the confidence interval with the smallest width.The sample of size will produce a confidence interval with the largest width, the sample of size will produce a confidence interval with the second largest width, and the sample of size will produce the confidence interval with the smallest width.There is no way to tell which sample sizes would produce the narrowestwidest confidence intervals.
c Carry out the simulation at each sample size to get the standard deviation of the distribution of sample proportions and use the SD method to approximate the margin of error with each of these three sample sizes. Then produce the confidence interval for each of these three sample sizes.
Sample size of :
Standard deviation: Select Confidence Interval of the form pmargin of error: Select Select
Sample size of :
Standard deviation: Select Confidence Interval of the form pmargin of error: Select Select
Sample of size :
Standard deviation: Select Confidence Interval of the form pmargin of error: Select Select
d How do the midpoints of these intervals compare? Select They are all the same.", "The are all different."
e How do the widths of these intervals compare? Choose one from below. Select ABC
As the sample size increases, the widths of the intervals decrease.As the sample size decreases, the widths of the intervals increase.The widths are all the same.
f By how many times must the sample size increase in order to cut the margin of error in half? Select Four times", "Six times", "Eight times", "Two times"
g The sample size was really Calculate the confidence interval for the population proportion of adult Americans who plan to watch a great deal of the Winter Olympics. Select Does this interval suggest that fewer than half of adult Americans will watch a great deal of the Winter Olympics? Select YesNo
