A random sample of 950 adult television viewers showed that 48% planned to watch sporting event X. The margin of error is 4 percentage points with a 95% confidence. Does the confidence interval support the claim that the majority of adult television viewers plan to watch sporting event X? Why?
A)Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 44% and 52%.
B)No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 46% and 50%.
C)No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 44% and 52%.
D)Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 46% and 50%.

Question

Quizplus · Accepted Answer

The confidence interval is 44% to 52%, which means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 44% and 52%. Since the interval does not include 50%, we can conclude that the majority of adult television viewers plan to watch sporting event X.

A Random Sample of 950 Adult Television Viewers Showed That