Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 441 of the 695 Republicans surveyed display the flag on the Fourth of July and 521 of the 751 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.10 level of significance? For this study, we should use        The null and alternative hypotheses would be:       H0:H0:                (please enter a decimal)    H1:H1:                (Please enter a decimal) The test statistic     = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
icon
Related questions
Question

Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 441 of the 695 Republicans surveyed display the flag on the Fourth of July and 521 of the 751 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.10 level of significance?

For this study, we should use       

  1. The null and alternative hypotheses would be:   
  2.    H0:H0:                (please enter a decimal)  
     H1:H1:                (Please enter a decimal)
  1. The test statistic     = (please show your answer to 3 decimal places.)
  2. The p-value = (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.
    • The results are statistically insignificant at αα = 0.10, so we can conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is equal to the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.
    • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the proportion of the 695 Republicans who displayed the American flag in front of their residence on the Fourth of July is different from the proportion of the 751 Democrats who displayed the American flag in front of their residence on the Fourth of July.
    • The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July is different from the population proportion of Democrats who display the American flag in front of their residence on the Fourth of July.
  6.  
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning