<h2>
Answer with explanation:</h2>
Let p be the true proportion of registered voters wish to see Mayor Waffleskate defeated.
As per given , we have
Sample size : n= 447
Number of of registered voters wish to see Mayor Waffleskate defeated = 157
I.e. sample proportion :
Confidence interval for population proportion is given by :-
, where n= sample size
= sample proportion
z* = critical z-value.
Critical z-value for 98% confidence interval is 2.33. (By z-table)
Then, the 98% confidence interval for the proportion of registered voters who wish to see Waffleskate defeated will be :
Since the 0.27 < 0.299 , it means 0.27 does not belong to the above confidence interval.
So , we reject the null hypothesis ().
So , <u>98% confidence interval does not support the claim.</u>