AnswersStatisticsChi-Square Test of Association/Independence

Chi-Square Test of Association/Independence — Quiz Answers

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1
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Which of these are the values of the chi-square statistic and cap p -value? Use the chi-square distribution table.

A
chi squared is equal to 0 point 7 9 , cap p -value is less than 0 point 0 5
B
chi squared is equal to 1 point 6 1 , cap p -value is greater than 0 point 2 5
C
chi squared is equal to 0 point 3 6 1 , cap p -value is less than 0 point 0 5
D
chi squared is equal to 0 point 8 2 , cap p -value is greater than 0 point 2 5
2
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Are the conditions for inference met?

A
No, the 10 percent condition is not met.
B
No, the data do not come from a random sample.
C
No, the Large Counts condition is not met since all expected counts are not greater than 5 .
D
All conditions for inference are met.
3

Which is the correct conclusion? Use the chi-square distribution table.

A
Since the cap p -value is less than 0 point 0 5 , this student should reject the null hypothesis. There is convincing evidence that there is an association between grade level and preferred pet.
B
Since the cap p -value is greater than 0 point 0 5 , this student should fail to reject the null hypothesis. There is not convincing evidence that there is an association between grade level and preferred pet.
C
Since the cap p -value is less than 0 point 0 5 , this student should fail to reject the null hypothesis. There is not convincing evidence that there is an association between grade level and preferred pet.
D
Since the cap p -value is greater than 0 point 0 5 , this student should reject the null hypothesis. There is convincing evidence that there is an association between grade level and preferred pet.
4

Is there an association between dominant hand and pet preference (dog, cat, other, none) in college students? A local professor selects a random sample of 114 students from his college and categorizes them appropriately. He would like to determine if there is convincing evidence of an association. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : There is an association between dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is no association between dominant hand and pet preference (dog, cat, other, none) in college students.
B
cap h sub 0 : There is no association between dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is an association between dominant hand and pet preference (dog, cat, other, none) in college students.
C
cap h sub 0 : There is a difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is no difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students.
D
cap h sub 0 : There is no difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students. cap h sub A : There is a difference in the distribution of dominant hand and pet preference (dog, cat, other, none) in college students.
5

A cell phone salesperson selects a random sample of 75 customers. For each customer, he records which cell phone provider (A, B, or C) they use and the type of phone they purchase. He would like to know whether there is convincing evidence that a customer’s cell phone provider is associated with the type of cell phone the customer purchases. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : Type of cell phone is independent of the cell phone provider. cap h sub A : Type of cell phone is not independent of the cell phone provider.
B
cap h sub 0 : There is an association between type of cell phone and the cell phone provider. cap h sub A : There is no association between type of cell phone and the cell phone provider.
C
cap h sub 0 : The proportion of types of phones differs for cell phone providers. cap h sub A : The proportion of types of phones equals in cell phone providers.
D
cap h sub 0 : Type of cell phone is not independent of the cell phone provider. cap h sub A : Type of cell phone is independent of the cell phone provider.
6

Is there an association between daily screen time and exercise habits in high school students? Mia selects a random sample of 123 high school students and categorizes them into 1 of 3 categories of screen time and whether they exercise. She would like to determine if there is convincing evidence of an association. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : There is no difference in the distribution of daily screen time and exercise habits in high school students. cap h sub A : There is a difference in the distribution of daily screen time and exercise habits in high school students.
B
cap h sub 0 : There is no association between daily screen time and exercise habits in high school students. cap h sub A : There is an association between daily screen time and exercise habits in high school students.
C
cap h sub 0 : There is a difference in the distribution of daily screen time and exercise habits in high school students. cap h sub A : There is no difference in the distribution of daily screen time and exercise habits in high school students.
D
cap h sub 0 : There is an association between daily screen time and exercise habits in high school students. cap h sub A : There is no association between daily screen time and exercise habits in high school students.
7

A local baker is interested if there is an association between the type of bread customers purchase and whether they tip for service. She selects a random sample of 61 customers and categorizes them appropriately. She would like to determine if there is convincing evidence of an association. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : There is no association between the type of bread customers purchase and whether they tip for service. cap h sub A : There is an association between the type of bread customers purchase and whether they tip for service.
B
cap h sub 0 : There is an association between the type of bread customers purchase and whether they tip for service. cap h sub A : There is no association between the type of bread customers purchase and whether they tip for service.
C
cap h sub 0 : There is no difference in the distribution of the type of bread customers purchase and whether they tip for service. cap h sub A : There is a difference in the distribution of the type of bread customers purchase and whether they tip for service.
D
cap h sub 0 : There is a difference in the distribution of the type of bread customers purchase and whether they tip for service. cap h sub A : There is no difference in the distribution of the type of bread customers purchase and whether they tip for service.
8

Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : There is a difference in the distribution of age and sleep habits. cap h sub A : There is no difference in the distribution of age and sleep habits.
B
cap h sub 0 : There is no association between age and sleep habits. cap h sub A : There is an association between age and sleep habits.
C
cap h sub 0 : There is no difference in the distribution of age and sleep habits. cap h sub A : There is a difference in the distribution of age and sleep habits.
D
cap h sub 0 : There is an association between age and sleep habits. cap h sub A : There is no association between age and sleep habits.
9

A teacher selects a random sample of 56 students from her large high school. For each student, she records the length of their hair and whether they play a sport. She would like to know if there is convincing evidence that hair length is associated with playing a sport. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : Hair length is independent of playing a sport. cap h sub A : Hair length is not independent of playing a sport.
B
cap h sub 0 : Hair length is not independent of playing a sport. cap h sub A : Hair length is independent of playing a sport.
C
cap h sub 0 : The proportion of students with differing hair lengths is not the same if they play sports. cap h sub A : The proportion of students with differing hair lengths is the same if they play sports.
D
cap h sub 0 : There is an association between hair length and playing a sport. cap h sub A : There is no association between hair length and playing a sport.
10

Is there an association between whether adults eat breakfast and whether they own a pet? To investigate, researchers select a random sample of 75 adults and asked them if they ate breakfast and if they owned a pet. The researchers would like to determine if there is convincing evidence of an association. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : There is a difference in the distribution of whether adults eat breakfast and whether they own a pet. cap h sub A : There is no difference in the distribution of whether adults eat breakfast and whether they own a pet.
B
cap h sub 0 : There is no association between whether adults eat breakfast and whether they own a pet. cap h sub A : There is an association between whether adults eat breakfast and whether they own a pet.
C
cap h sub 0 : There is an association between whether adults eat breakfast and whether they own a pet. cap h sub A : There is no association between whether adults eat breakfast and whether they own a pet.
D
cap h sub 0 : There is no difference in the distribution of whether adults eat breakfast and whether they own a pet. cap h sub A : There is a difference in the distribution of whether adults eat breakfast and whether they own a pet.

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