Do political science classes require less writing than history classes? The 47 randomly selected political science classes assigned an average of 19 pages of essay writing for the course. The standard...

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Extracted text: Do political science classes require less writing than history classes? The 47 randomly selected political science classes assigned an average of 19 pages of essay writing for the course. The standard deviation for these 47 classes was 5.6 pages. The 56 randomly selected history classes assigned an average of 21.9 pages of essay writing for the course. The standard deviation for these 56 classes was 4.1 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use t-test for the difference between two independent population means a. The null and alternative hypotheses would be: Но: р1 V p2 H1: p1 p2 b. The test statistic t = -3.028 (please show your answer to 3 decimal places.) c. The p-value = 0.0016 d. The p-value is sv a e. Based on this, we should reject f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) |the null hypothesis. OThe results are statistically significant at a = 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. O The results are statistically insignificant at a = 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. O The results are statistically insignificant at a = 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. O The results are statistically significant at a = 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 56 history classes that were observed.