In a survey of 447 registered voters, 157 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campaign claims that no more than 27% of registered voters wish to see her defeated. Does the 98% confidence interval for the proportion support this claim? (Hint: you should first construct the 98% confidence interval for the proportion of registered voters who whish to see Waffleskate defeated.) (0.299, 0.404)
A)The reasonableness of the claim cannot be determined.
B)No
C)Yes

Question

Quizplus · Accepted Answer

The 98% confidence interval for the proportion of registered voters who wish to see Mayor Waffleskate defeated is (0.299, 0.404), which means we are 98% confident that the true proportion of voters who wish to see her defeated lies within this range. Since the entire interval is above 27%, it does not support the Waffleskate campaign's claim that no more than 27% of registered voters wish to see her defeated.

In a Survey of 447 Registered Voters, 157 of Them