Construct a 90% confidence interval on the population proportion for the support of candidate A in the following mayoral election.Candidate A is facing two opposing candidates.In a recent poll of 300 residents,153 supported her.
A)[0.4534,0.5666]
B)[0.4625,0.5575]
C)[0.5086,0.5114]
D)[0.5090,0.5110]

Question

Quizplus · Accepted Answer

The sample proportion is 153/300 = 0.51. Using the formula for a confidence interval for a proportion, with a 90% confidence level, the margin of error is calculated using the standard error and the z-score for 90% confidence (approximately 1.645). The interval is [0.4625, 0.5575].

Construct a 90% Confidence Interval on the Population Proportion for the Support