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APUS MATH302 I001 Week 8 Knowledge Check Homework Practice Questions
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APUS MATH302 I001 Week 8 Knowledge Check Homework Practice Questions
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MATH302 I001 Tests & QuizzesTests & Quizzes
Week 8 Knowledge Check Homework Practice Questions
Part 1 of 4 - Chi-Square Test for Homogeneity 8.0/ 8.0 Points
Question 1 of 20
1.0/ 1.0 Points
Pamplona, Spain is the home of the festival of San Fermin – The Running of the Bulls. The
town is in festival mode for a week and a half every year at the beginning of July. There is a running joke in
the city, that Pamplona has a baby boom every April – 9 months after San Fermin. To test this claim, a
resident takes a random sample of 300 birthdays from native residents and finds the following observed
counts:
January 25
February 25
March 27
April 26
May 21
June 26
July 22
August 27
September 21
October 26
November 28
December 26
At the 0.05 level of significance, can it be concluded that births in Pamplona are not equally distributed
throughout the 12 months of the year?
Hypotheses:
H0: Births in Pamplona ______ equally distributed throughout the year.
H1: Births in Pamplona ______ equally distributed throughout the year.
Select the best fit choices that fit in the two blank spaces above.
A. are, are not
, B. are not, are
C. are, are
D. are not, are not
Answer Key: A
Question 2 of 20
Click to see additional instructions 1.0/ 1.0 Points
Pamplona, Spain is the home of the festival of San Fermin – The Running of the Bulls. The town is in festival mode for a
week and a half every year at the beginning of July. There is a running joke in the city, that Pamplona has a baby boom
every April – 9 months after San Fermin. To test this claim, a resident takes a random sample of 300 birthdays from
native residents and finds the following observed counts:
January 25
February 25
March 27
April 26
May 21
June 26
July 22
August 27
September 21
October 26
November 28
December 26
At the 0.05 level of significance, can it be concluded that births in Pamplona are not equally distributed
throughout the 12 months of the year?
Enter the test statistic - round to 2 decimal places.
2.48
Answer Key: 2.48
Feedback:
The Expected Counts are all the same. 300*(1/12) = 25.
, Test Stat =
You need to use this equation to find the Test Statistic and use all the values from January to December. The "..."
doesn't show all 12 value but you will need to include all of them.
Question 3 of 20
Click to see additional instructions 1.0/ 1.0 Points
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?
Enter the test statistic - round to 2 decimal places.
Test statistic= 10.53
Answer Key: 10.53
Feedback:
Spring Summer Fall Winter
Observed
27 39 31 53
Counts
Expected 150*.25 = 150*.25 = 150*.25 = 150*.25=
Counts 37.5 37.5 37.5 37.5
Test Stat =
Question 4 of 20
Click to see additional instructions 1.0/ 1.0 Points
The manager of a coffee shop wants to know if his customers’ drink preferences have changed in the past year. He
knows that last year the preferences followed the following proportions – 34% Americano, 21% Cappuccino, 14%
Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he finds that 115 ordered
Americanos, 88 ordered Cappuccinos, 69 ordered Espressos, 59 ordered Lattes, 44 ordered Macchiatos, and the
rest ordered something in the Other category. Run a Goodness of Fit test to determine whether or not drink
preferences have changed at his coffee shop. Use a 0.05 level of significance.
Americanos Capp. Espresso Lattes Macchiatos Other
Observed
115 88 69 59 44 75
Counts
Expected
153 94.5 63 49.5 45 45
Counts
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