A news article that you read stated that 50% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 87 of the 208 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?For this study, we should use Select an answer z-test for a population proportion t-test for a population mean CorrectThe null and alternative hypotheses would be: Ho: ? p μ Correct Select an answer = > < ≠ Correct Correct(please enter a decimal) H1: ? p μ Correct Select an answer ≠ = < > Correct Correct(Please enter a decimal)The test statistic ? t z Correct = (please show your answer to 3 decimal places.)The p-value =

Name: A news article that you read stated that 50% of voters prefer the Demo
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: A news article that you read stated that 50% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 87 of the 208 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the

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

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

A news article that you read stated that 50% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 87 of the 208 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?

For this study, we should use Select an answer z-test for a population proportion t-test for a population mean Correct
The null and alternative hypotheses would be:
Ho: ? p μ Correct Select an answer = > < ≠ Correct Correct(please enter a decimal)
H₁: ? p μ Correct Select an answer ≠ = < > Correct Correct(Please enter a decimal)

The test statistic ? t z Correct = (please show your answer to 3 decimal places.)
The p-value =

Expert Solution

Step 1

From the provided information,

Population proportion (p) = 0.50

Sample size (n) = 208

Out of which 87 voters said that they prefer Democratic candidate that is x = 87

Sample proportion (p̂) = x/n = 87/208 = 0.4183

Level of significance (α) = 0.05

Step 2

For this study, we should use z-test for a population proportion.

The hypotheses can be constructed as:

H₀: p = 0.50

H₁: p < 0.50

The value of the test statistic can be obtained as:

Step by step

Solved in 3 steps with 1 images

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Proportions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc