The null and alternative hypotheses would be:          Select an answer p1 μ1  Select an answer ≠ < > =  Select an answer p2 μ2  (please enter a decimal)       Select an answer p1 μ1  Select an answer > < ≠ =  Select an answer p2 μ2  (Please enter a decimal) The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >   Based on this, we should Select an answer accept fail to reject reject  the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major. The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major. The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major. The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 673 freshmen psychology majors who changed their major is greater than the proportion of the 709 freshmen business majors who change their major.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 426 of the 673 freshmen psychology majors from a recent study changed their major before they graduated and 420 of the 709 freshmen business majors changed their major before they graduated. What can be concluded at the  = 0.01 level of significance?

For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference between two population proportions z-test for a population proportion t-test for a population mean 

  1. The null and alternative hypotheses would be:   
  2.   

   Select an answer p1 μ1  Select an answer ≠ < > =  Select an answer p2 μ2  (please enter a decimal)   

   Select an answer p1 μ1  Select an answer > < ≠ =  Select an answer p2 μ2  (Please enter a decimal)

  1. The test statistic ? t z  =  (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 ? ≤ >  
  4. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major is the same as the population proportion of freshmen business majors who change their major.
    • The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major.
    • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of freshmen psychology majors who change their major is greater than the population proportion of freshmen business majors who change their major.
    • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 673 freshmen psychology majors who changed their major is greater than the proportion of the 709 freshmen business majors who change their major.
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