Do political science classes require less writing than history classes? The 47 randomly selected political science classes assigned an average of 14.1 pages of essay writing for the course. The...

Do political science classes require less writing than history classes? The 47 randomly selected political science classes assigned an average of 14.1 pages of essay writing for the course. The standard deviation for these 47 classes was 4.7 pages. The 50 randomly selected history classes assigned an average of 16.1 pages of essay writing for the course. The standard deviation for these 50 classes was 4.5 pages. What can be concluded at the αα = 0.10 level of significance?

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

1. The null and alternative hypotheses would be:

 H0:H0:  Select an answer μ1 p1 Correct Select an answer < > = ≠ Correct Select an answer p2 μ2 Correct

 H1:H1:  Select an answer μ1 p1 Correct Select an answer ≠ > = < correct select an="">

1. The test statistic ? z t Incorrect = Incorrect (please show your answer to 3 decimal places.)


2. The p-value = Incorrect (Please show your answer to 4 decimal places.)


3. The p-value is ? > ≤ Incorrect αα


4. Based on this, we should Select an answer reject fail to reject accept  the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The results are statistically insignificant at αα = 0.10, so there is insufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.
   
   
   • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population mean number of pages of writing that political science classes require is less than the population mean number of pages of writing that history classes require.
   
   
   • The results are statistically insignificant at αα = 0.10, 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.
   
   
   • The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the mean number of required pages for the 47 political science classes that were observed is less than the mean number of required pages for the 50 history classes that were observed.