Question

Do political science classes require the same amount of writing as history classes? The 41 randomly selected political science classes assigned an average of 15.8 pages of essay writing for the course. The standard deviation for these 41 classes was 3.4 pages. The 46 randomly selected history classes assigned an average of 16.5 pages of essay writing for the course. The standard deviation for these 46 classes was 4.8 pages. What can be concluded at the αα = 0.05 level of significance?

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

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

H0:H0:  Select an answer p1 μ1  ? = ≠ < >  Select an answer μ2 p2  (please enter a decimal)   

H1:H1:  Select an answer p1 μ1  ? = ≠ < >  Select an answer p2 μ2  (Please enter a decimal)

2. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
3. The p-value =  (Please show your answer to 4 decimal places.)
4. The p-value is ? ≤ >  αα
5. Based on this, we should Select an answer reject accept fail to reject  the null hypothesis.

Answer 1

t-test for the difference between two independent population