A Random Sample of 830 Adult Television Viewers Showed That

Multiple Choice

A random sample of 830 adult television viewers showed that 52% planned to watch sportingevent X. The margin of error is 3 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) No; the confidence interval means that we are 95% confident that the population proportionof adult television viewers who plan to watch sporting event X is between 49% and 55%. Thetrue proportion could be less than 50%.
B) Yes; the confidence interval means that we are 95% confident that the population proportionof adult television viewers who plan to watch sporting event X is between 49% and 55%.Since the confidence interval is mostly above 50% it is likely that the true proportion is greaterthan 50%.
C) No; the confidence interval means that we are 95% confident that the population proportionof adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%.The lower limit of the confidence interval is just too close to 50% to say for sure.
D) Yes; the confidence interval means that we are 95% confident that the population proportionof adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%.
This is strong evidence that the true proportion is greater than 50%