Math Problem Statement

A news article that you read stated that 50% of voters prefer the Democratic candidate. You think that the actual percent is different. 123 of the 233 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance? whats the test statistic z = ?? & the p-value = ?? ; answer only

Solution

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Proportion Test
Normal Distribution

Formulas

z = (p̂ - p) / sqrt[(p * (1 - p)) / n]
p-value for two-tailed z-test

Theorems

Central Limit Theorem
Normal Approximation to Binomial Distribution

Suitable Grade Level

College Level

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