A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?The p-value is ? ≤ > ααBased on this, we should Select an answer reject accept fail to reject the null hypothesis.Thus, the final conclusion is that ...The data suggest the population proportion is not significantly larger 52% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 52%.The data suggest the population proportion is not significantly larger 52% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 52%.The data suggest the populaton proportion is significantly larger 52% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 52%

Answered: A news article that you read stated…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?

The p-value is ? ≤ > αα
Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly larger 52% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 52%.
- The data suggest the population proportion is not significantly larger 52% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 52%.
- The data suggest the populaton proportion is significantly larger 52% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 52%

Expert Solution

Step 1

Given Information-

Sample size, n = 266

Significance level, α = 0.05

Sample proportion is,

Hypothesis Formulation

Null Hypothesis, H₀: p = 0.52

Alternate Hypothesis, H_a: p ≠ 0.52

Now, the test statistics is given by-

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