Do political science classes require the same amount of writing as history classes? The 50 randomly selected political science classes assigned an average of 18.3 pages of essay writing for the course. The standard deviation for these 50 classes was 4.6 pages. The 40 randomly selected history classes assigned an average of 15 pages of essay writing for the course. The standard deviation for these 40 classes was 5.9 pages. What can be concluded at the a = 0.05 level of significance?

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Do political science classes require the same amount of writing as
history classes? The 50 randomly selected political science classes
assigned an average of 18.3 pages of essay writing for the course.
The standard deviation for these 50 classes was 4.6 pages. The 40
randomly selected history classes assigned an average of 15 pages
of essay writing for the course. The standard deviation for these 40
classes was 5.9 pages. What can be concluded at the a = 0.05 level
of significance?
For this study, we should use test for the difference between two independent population means
a. The null and alternative hypotheses would be:
Ho:
(please enter a decimal)
of
H1:
(Please enter a decimal)
of
of
b. The test statistic
(please show your answer to 2
decimal places.)
c. The p-value =
(Please show your answer to 4 decimal
places.)
d. The p-value is D
e. Based on this, we should
the null hypothesis.
reject
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.05, 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.
O The results are statistically insignificant at a = 0.05, 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.
O The results are statistically significant at a = 0.05, so there
is sufficient evidence to conclude that the mean number of
required pages for the 50 political science classes that
were observed is not the same as the mean number of
required pages for the 40 history classes that were
observed.
OThe results are statistically insignificant at a = 0.05, 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.
of
Transcribed Image Text:Do political science classes require the same amount of writing as history classes? The 50 randomly selected political science classes assigned an average of 18.3 pages of essay writing for the course. The standard deviation for these 50 classes was 4.6 pages. The 40 randomly selected history classes assigned an average of 15 pages of essay writing for the course. The standard deviation for these 40 classes was 5.9 pages. What can be concluded at the a = 0.05 level of significance? For this study, we should use test for the difference between two independent population means a. The null and alternative hypotheses would be: Ho: (please enter a decimal) of H1: (Please enter a decimal) of of b. The test statistic (please show your answer to 2 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is D e. Based on this, we should the null hypothesis. reject f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.05, 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. O The results are statistically insignificant at a = 0.05, 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. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean number of required pages for the 50 political science classes that were observed is not the same as the mean number of required pages for the 40 history classes that were observed. OThe results are statistically insignificant at a = 0.05, 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. of
Expert Solution
Step 1

Given that,

Sample size of political science classes n1=50

Sample size of history classes n2=40

Sample mean pages of essay writing of political science classes x1¯=18.3

Sample mean pages of essay writing of political science classes x2¯=15

Sample standard deviation of political science classes s1=4.6

Sample standard deviation of history classes s2=5.9

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