A random sample of 950 adult television viewers showed that 48% planned to watch sportingevent X. The margin of error is 4 percentage points with a 95% confidence. Does the confidenceinterval support the claim that the majority of adult television viewers plan to watch sporting eventX? 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

A random sample of 950 adult television viewers showed that 48% planned to watch sportingevent X. The margin of error is 4 percentage points with a 95% confidence. Does the confidenceinterval support the claim that the majority of adult television viewers plan to watch sporting eventX? 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%.

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