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A product development scientist is tasked with determining which of three methods is the most effective for catching fruit flies: a sticky paper trap, a liquid trap, or a container trap. The scientist hypothesizes that all three methods will be equally effective at catching the fruit flies. To investigate, he releases a random sample of 300 fruit flies in an enclosed area containing each of the three traps. What are the appropriate hypotheses?

A
cap h sub 0 : p sub paper is not equal to 1 third , p sub liquid is not equal to 1 third , p sub container is not equal to 1 third cap h sub A : p sub paper is equal to 1 third , p sub liquid is equal to 1 third , p sub container is equal to 1 third
B
cap h sub 0 : Not all of the p sub i 's are as stated. cap h sub A : p sub paper is equal to 1 third , p sub liquid is equal to 1 third , p sub container is equal to 1 third
C
cap h sub 0 : p sub paper is equal to 1 third , p sub liquid is equal to 1 third , p sub container is equal to 1 third cap h sub A : Not all of the p sub i 's are as stated.
D
cap h sub 0 : p sub paper is equal to 1 third , p sub liquid is equal to 1 third , p sub container is equal to 1 third cap h sub A : p sub paper is not equal to 1 third , p sub liquid is not equal to 1 third , p sub container is not equal to 1 third
4

A flight attendant selects a random sample of 201 travelers. For each, he records the class in which the person travels and whether they have carry-on luggage. He would like to know if there is convincing evidence that the class in which a person travels is associated with having carry-on luggage. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?

A
cap h sub 0 : The proportion of travelers who have carry-on luggage is not the same in the types of class. cap h sub A : The proportion of travelers who have carry-on luggage is the same in the types of class.
B
cap h sub 0 : There is an association between class and carry-on luggage. cap h sub A : There is no association between class and carry-on luggage.
C
cap h sub 0 : Class is not independent of carry-on luggage. cap h sub A : Class is independent of carry-on luggage.
D
cap h sub 0 : Class is independent of carry-on luggage. cap h sub A : Class is not independent of carry-on luggage.
6

The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. What is the appropriate inference procedure?

A
chi-square test for goodness of fit because the data come from one random sample
B
chi-square test for association/independence because the data come from one random sample
C
chi-square test for association/independence because the data come from independent random samples
D
chi-square test for homogeneity because the data come from independent random samples
7

The scientist would like to know if these data provide convincing evidence that the distribution of education differs for these regions in the population of all tristate residents. What is the appropriate inference procedure?

A
chi-square test for homogeneity because the data come from independent random samples
B
chi-square test for association/independence because the data come from one random sample
C
chi-square test for goodness of fit because the data come from one random sample
D
chi-square test for association/independence because the data come from independent random samples
8

The conditions for inference are met. The chi-square test statistic is chi squared is equal to 10 point 6 7 What conclusion should be made using alpha is equal to 0 point 0 5 ? Use the chi-square table.

A
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is convincing evidence of a difference in the distribution of grades for all students like these who use a small or large index card.
B
Because the cap p -value is greater than alpha is equal to 0 point 0 5 , there is convincing evidence of a difference in the distribution of grades for all students like these who use a small or large index card.
C
Because the cap p -value is less than alpha is equal to 0 point 0 5 , there is not convincing evidence of a difference in the distribution of grades for all students like these who use a small or large index card.
D
Because the cap p -value is greater than alpha is equal to 0 point 0 5 , there is not convincing evidence of a difference in the distribution of grades for all students like these who use a small or large index card.
9

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 cashier should reject the null hypothesis. There is convincing evidence that there is an association between amount spent and type of payment.
B
Since the cap p -value is greater than 0 point 0 5 , this cashier should fail to reject the null hypothesis. There is not convincing evidence that there is an association between amount spent and type of payment.
C
Since the cap p -value is greater than 0 point 0 5 , this cashier should reject the null hypothesis. There is convincing evidence that there is an association between amount spent and type of payment.
D
Since the cap p -value is less than 0 point 0 5 , this cashier should fail to reject the null hypothesis. There is not convincing evidence that there is an association between amount spent and type of payment.
10

She would like to know if these data provide convincing evidence that the distribution of job status differs among the populations of all 9th, 10th, 11th, and 12th graders at this large high school. What are the appropriate hypotheses?

A
cap h sub 0 : There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. cap h sub A : There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.
B
cap h sub 0 : Job status and grade level are not independent. cap h sub A : Job status and grade level are independent.
C
cap h sub 0 : Job status and grade level are independent. cap h sub A : Job status and grade level are not independent.
D
cap h sub 0 : There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. cap h sub A : There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school.

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