Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 128 of

image text in transcribed
A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 128 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? a. For this study, we should use l Select an answer v l b. The null and alternative hypotheses would be: He: [:] (Please enler a decimal) H1: C] (Please enter a decimal) c. The test statistic = [j (please show your answer to 3 decimal places.) d. The p-value = [:] (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that O The data suggest the populaton proportion is significantly smaller 54% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller 54% O The data suggest the population proportion is not significantly smaller 54% at a = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller 54%. O The data suggest the population proportion is not significantly smaller 54% at a: = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 54%. h. Interpret the p-value in the context of the study. 0 If the sample proportion of voters who prefer the Democratic candidate is 48% and if another 266 voters are surveyed then there would be a 2.72% chance of concluding that fewer than 54% of all voters surveyed prefer the Democratic candidate. 0 There is a 2.72% chance that fewer than 54% of all voters prefer the Democratic candidate. 0 If the population proportion of voters who prefer the Democratic candidate is 54% and if another 266 voters are surveyed then there would be a 2.72% chance fewer than 48% of the 266 voters surveyed prefer the Democratic candidate. 0 There is a 54% chance of a Type I error. i. Interpret the level of significance in the context of the study. 0 If the proportion of voters who prefer the Democratic candidate is smaller 54% and if another 266 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 54%. 0 There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller 54%. O If the population proportion of voters who prefer the Democratic candidate is 54% and if another 266 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller 54% 0 There is a 5% chance that the earth is flat and we never actually sent a man to the moon

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Elementary Linear Algebra Applications Version

Authors: Howard Anton, Chris Rorres

11th Edition

1118879163, 9781118879160

More Books

Students also viewed these Mathematics questions

Question

6. How can a message directly influence the interpreter?

Answered: 1 week ago