Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 72% at a level

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 72% at a level of significance of = 0.10. According to your sample, 53 out of 74 potential voters prefer the Democratic candidate.

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
  2. The null and alternative hypotheses would be: Ho: ? p Select an answer = < > (please enter a decimal) H1: ? p Select an answer = > < (Please enter a decimal)
  3. The test statistic ? z t = (please show your answer to 3 decimal places.)
  4. The p-value = (Please show your answer to 4 decimal places.)
  5. The p-value is ? >
  6. Based on this, we should Select an answer reject fail to reject accept the null hypothesis.
  7. Thus, the final conclusion is that ...
  8. Interpret the p-value in the context of the study.
  9. Interpret the level of significance in the context of the study.
    • There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
    • If the population proportion of voters who prefer the Democratic candidate is 72% and if another 74 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 72%
    • If the proportion of voters who prefer the Democratic candidate is smaller than 72% and if another 74 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 72%.
    • There is a 10% chance that the proportion of voters who prefer the Democratic candidate is smaller than 72%.

  • If the population proportion of voters who prefer the Democratic candidate is 72% and if another 74 voters are surveyed then there would be a 47.11% chance fewer than 71% of the 74 voters surveyed prefer the Democratic candidate.
  • If the sample proportion of voters who prefer the Democratic candidate is 71% and if another 74 voters are surveyed then there would be a 47.11% chance of concluding that fewer than 72% of all voters surveyed prefer the Democratic candidate.
  • There is a 72% chance of a Type I error.
  • There is a 47.11% chance that fewer than 72% of all voters prefer the Democratic candidate.

  • The data suggest the populaton proportion is significantly smaller than 72% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 72%
  • The data suggest the population proportion is not significantly smaller than 72% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 72%.
  • The data suggest the population proportion is not significantly smaller than 72% at = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 72%.

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

Algebra And Trigonometry

Authors: Ron Larson

9th Edition

1285605705, 9781285605708

More Books

Students also viewed these Mathematics questions

Question

Why does the sky sometimes appear whitish?

Answered: 1 week ago

Question

4. Review periodically.

Answered: 1 week ago

Question

Do not pay him, wait until I come

Answered: 1 week ago

Question

Do not get married, wait until I come, etc.

Answered: 1 week ago

Question

Do not come to the conclusion too quickly

Answered: 1 week ago