Assignment #2 | 1 and 2 question Solution

Assignment #2
ALL CALCULATIONS, ARE TO BE CALCULATED AS IF THE QUESTIONS WERE
FOUND ON AN EXAM. i.e. you are NOT to use EXCEL or some similar program. Show your work.
1. Note that, in order to keep these tasks manageable, the sample is very small and some assumptions
about sample size may be violated in order to answer these questions.
Person Years of
School
Hours
Reading
Gender Political
Ideology
Region Income
1 20 3 1 2 2 4
2 16 1 2 2 1 5
3 12 0 2 1 4 1
4 15 2 1 2 3 2
5 17 4 1 2 3 3
6 13 3 2 1 3 2
7 13 2 2 1 2 2
8 11 4 2 1 1 5
9 18 5 1 2 4 4
10 21 8 1 1 1 3
11 14 2 2 1 4 2
12 13 4 1 1 2 2
13 16 3 1 2 2 4
14 14 1 2 2 2 3
15 13 1 2 2 3 4
16 14 3 1 2 3 3
17 15 4 1 2 4 1
18 14 6 2 2 2 2
19 16 2 1 1 2 4
20 17 1 1 2 3 3
Survey Items:
1. Years of school (Values are actual number of years).
2. Hours spent Reading Daily
3. Gender
1. Male
2. Female
4. Political Ideology: 1 (Conservative) to 2 (Liberal)
5. Region of Canada
1. Maritimes
2. Quebec
3. Ontario
4. Western Canada
6. Income
1. Under 25,000$
2. 25,000$ - 49,999$
3. 50,000$ - 74,999$
4. 75,000$ - 99,999$
5. 100,000$ and over
A) Is there a statistically significant difference in average years of education in Québec versus other
regions of Canada? (10 points)
B) Is there a statistically significant relationship between gender and political ideology? (10 points)
C) Estimate the average years of education for the entire population. (10 points)
D) If Canadians currently average 1.4 hours of reading a day, is the sample representative of the general
population? (10 points)
E) Does the average number of hours spent reading vary by level of income? (10 points)
F) Are the educational levels of Conservatives and liberal significantly different? (10 points)
G) Based on the data, estimate the proportion of female Canadians in the population. (8 points)
2. A researcher investigating educational aspirations drew a random sample of 145 female university
students. The researcher discovered that 45 students plan on continuing their studies after their first
degree. Construct the 95% confidence interval for the true proportion of women seeking higher education.
(10 points).