#7 Do political science classes require less writing than history classes? The 47 randomly selected politicalscience classes assigned an average of 19 pages of essay writing for the course. The standard deviation forthese 47 classes was 5.6 pages. The 56 randomly selected history classes assigned an average of 21.9 pagesof essay writing for the course. The standard deviation for these 56 classes was 4.1 pages. What can beconcluded at the a = 0.10 level of significance?For this study, we should use t-test for the difference between two independent population means va. The null and alternative hypotheses would be:Ho: p1u2H1: u1u2b. The test statistic t v-3.028(please show your answer to 3 decimal places.)c. The p-value = 0.0016(Please show your answer to 4 decimal places.)d. The p-value is svae. Based on this, we should rejectv the null hypothesis.f. Thus, the final conclusion is that ...O The results are statistically significant at a = 0.10, so there is sufficient evidence to concludethat the population mean number of pages of writing that political science classes require isless 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 toconclude that the population mean number of pages of writing that political science classesrequire is less than the population mean number of pages of writing that history classesrequire.O The results are statistically insignificant at a = 0.10, so there is statistically significantevidence to conclude that the population mean number of pages of writing that politicalscience classes require is equal to the population mean number of pages of writing that historyclasses require.O The results are statistically significant at a = 0.10, so there is sufficient evidence to concludethat the mean number of required pages for the 47 political science classes that were observedis less than the mean number of required pages for the 56 history classes that were observed.

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