Do political science classes require the same amount of writing as history classes? The 47 randomly selected political science classes assigned an average of 14.5 pages of essay writing for the course. The standard deviation for these 47 classes was 4 pages. The 41 randomly selected history classes assigned an average of 16.7 pages of essay writing for the course. The standard deviation for these 41 classes was 3.6 pages. What can be concluded at the αα = 0.01 level of significance? For this study, we should use        The null and alternative hypotheses would be:        H0:H0:     Correct      Correct    Correct       H1:H1:     Correct      Correct    Correct The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is     αα Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is not the same as the population mean number of pages of writing that history classes require. The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 47 political science classes that were observed is not the same as the mean number of required pages for the 41 history classes that were observed. The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is not the same as the population mean number of pages of writing that history classes require. The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of pages of writing that political science classes require is equal to the population mean number of pages of writing that history classes require.

Do political science classes require the same amount of writing as history classes? The 47 randomly selected political science classes assigned an average of 14.5 pages of essay writing for the course. The standard deviation for these 47 classes was 4 pages. The 41 randomly selected history classes assigned an average of 16.7 pages of essay writing for the course. The standard deviation for these 41 classes was 3.6 pages. What can be concluded at the αα = 0.01 level of significance?

For this study, we should use       

1. The null and alternative hypotheses would be:   
  

 H0:H0:     Correct      Correct    Correct     

 H1:H1:     Correct      Correct    Correct

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 = 0.01, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is not the same as the population mean number of pages of writing that history classes require.
   • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the mean number of required pages for the 47 political science classes that were observed is not the same as the mean number of required pages for the 41 history classes that were observed.
   • The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is not the same as the population mean number of pages of writing that history classes require.
   • The results are statistically insignificant at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of pages of writing that political science classes require is equal to the population mean number of pages of writing that history classes require.