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MATH 302 Week 8 Test | Questions and Answers | 2025/2026 Update | 100% Correct.

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MATH 302 Week 8 Test | Questions and Answers | 2025/2026 Update | 100% Correct.

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Week 8 Test - Results


Attempt 1 of 2

Written Jul 24, 2025 2:05 PM - Jul 24, 2025 3:18 PM



Attempt Score - 100 %
Overall Grade (Highest Attempt) - 100 %




Question 1 point

A large department store is curious about what sections of the store make the most sales. The manager has data from
ten years prior that show 30% of sales come from Clothing, 25% Home Appliances, 18% Housewares, 13% Cosmetics,
12% Jewelry, and 2% Other.

In a random sample of 550 current sales, 188 came from Clothing, 153 Home Appliances, 83 Housewares, 54
Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the manager conclude that the distribution of sales among the
departments has changed?

Hypotheses:

H0: There is _______ in the distribution of current sales.

H1: There is _______ in the distribution of current sales.

Select the best fit choices that fit in the two blank spaces above.

no difference, a difference
a difference, no difference

no difference, no difference
a difference, a difference

Question 2 point

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses
are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses
typically are evaluated at 10% 1's, 15% 2's, 34% 3's, and 41% 4's.

Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random sample of his evaluations
and finds 10 1's, 13 2's, 48 3's, and 52 4's. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations

,are significantly different than the History Department's?

Hypotheses:

H0: There is _________ in Mr. Goodman's evaluations and the History Department's.

H1: There is _________ in Mr. Goodman's evaluations and the History Department's.

Select the best fit choices that fit in the two blank spaces above.

no difference, a difference
a difference, no difference
no difference, no difference

a difference, a difference

Question 3 point

A Driver's Ed program is curious if the time of year has an impact on number of car accidents in the U.S. They assume
that weather may have a significant impact on the ability of drivers to control their vehicles. They take a random
sample of 150 car accidents and record the season each occurred in. They found that 27 occurred in the Spring, 39 in
the Summer, 31 in the Fall, and 53 in the Winter. Can it be concluded at the 0.05 level of significance that car accidents
are not equally distributed throughout the year?

Hypotheses:

H0: Car accidents ________ equally distributed throughout the year.

H1: Car accidents ________ equally distributed throughout the year.

Select the best fit choices that fit in the two blank spaces above.

are, are not
are not, are
are, are
are not, are not

Question 4 point

A college prep school advertises that their students are more prepared to succeed in college than other schools. To
verify this, they categorize GPA's into 4 groups and look up the proportion of students at a state college in each
category. They find that 7% have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.

They then take a random sample of 200 of their graduates at the state college and find that 19 has a 0-0.99, 28 have a 1-
1.99, 82 have a 2-2.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than the general population at the
school? Test at the 0.05 level of significance.

Hypotheses:
H0: There is ______ between the general population and the college prep students in GPA.

H1: There is ______ between the general population and the college prep students in GPA.

, Select the best fit choices that fit in the two blank spaces above.

no difference, a difference
a difference, no difference
no difference, no difference

a difference, a difference

Question 5 point

An urban economist is curious if the distribution in where Oregon residents live is different
today than it was in 1990. She observes that today there are approximately 3,109 thousand
residents in NW Oregon, 902 thousand residents in SW Oregon, 244 thousand in Central
Oregon, and 102 thousand in Eastern Oregon. She knows that in 1990 the breakdown was
as follows: 72.7% NW Oregon, 20.7% SW Oregon, 4.8% Central Oregon, and 2.8% Eastern
Oregon.

Can she conclude that the distribution in residence is different today at a 0.05 level of
significance?

Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
p-value=___
___

Answer: 0.0172

Hide question 5 feedback

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