A researcher seeks to determine whether college seniors are different from freshmen in their attachment to their parents while away at college. To measure this, the researcher collects information about the percentage in each group who call their parents at least once a day. In a random sample of 153 freshmen, this percentage was 24%. In a random sample of 117 seniors, this percentage was 8%. Use the 5-step model and a 1% significance level to report findings for this study.    What are the assumptions for this problem? What is the null hypothesis for this problem? Alternate hypothesis? What type of sampling distribution should you use here? What level of significance? Calculate the test statistic. Compare the test statistic to the critical value (in words or with mathematical symbols). Do you reject or fail to reject the null hypothesis? Write a conclusion about the problem in one (1) sentence.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A researcher seeks to determine whether college seniors are different from freshmen in their attachment to their parents while away at college. To measure this, the researcher collects information about the percentage in each group who call their parents at least once a day. In a random sample of 153 freshmen, this percentage was 24%. In a random sample of 117 seniors, this percentage was 8%. Use the 5-step model and a 1% significance level to report findings for this study. 

 

  1. What are the assumptions for this problem?
  2. What is the null hypothesis for this problem? Alternate hypothesis?
  3. What type of sampling distribution should you use here? What level of significance?
  4. Calculate the test statistic.
  5. Compare the test statistic to the critical value (in words or with mathematical symbols). Do you reject or fail to reject the null hypothesis?
  6. Write a conclusion about the problem in one (1) sentence.
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