Question 1(4 points)

A 1992 poll conducted by the University of Montana classified respondents by gender and political party, as shown in the table below. We wonder if there is an association between gender and party affiliation. Which of the following would be the appropriate type of test to investigate our hypothesis?

Question 1 options:

Chi-squared test of independence with 2 degrees of freedom

Chi-squared test of good fit with6 degrees of freedom

Chi-squared test of independence with6 degrees of freedom

Chi-squared test of good fit with 2 degrees of freedom

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Question 2(4 points)

A 1992 poll conducted by the University of Montana classified respondents by gender and political party, as shown in the table below. We wonder if there is an association between gender and party affiliation.

What is the correct expected value for the highlighted cell?

Question 2 options:

40.3

40.5

19.2

37.5

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Question 3(4 points)

A 1992 poll conducted by the University of Montana classified respondents by gender and political party, as shown in the table below. We wonder if there is an association between gender and party affiliation. Which of the following would be the appropriate type of test to investigate our hypothesis?

What are the X^2 and p-values for the test?

Question 3 options:

X^2 = 4.05 p = 0.09

X^2 = 4.85 p = 0.88

X^2 = 4.85 p = 0.09

X^2 =5.85 p = 0.88

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Question 4(4 points)

A 1992 poll conducted by the University of Montana classified respondents by gender and political party, as shown in the table below. We wonder if there is an association between gender and party affiliation. Which of the following would be the appropriate type of test to investigate our hypothesis?

At the = .10 level, what is the correct conclusion for the test?

Question 4 options:

No conclusion can be made.

There is no association between gender and party affiliation.

Males tend to be Republicans.

There is an association between gender and party affiliation.

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Question 5(4 points)

A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, 10% hazelnuts, and the rest are peanuts. You buy a can of nuts and separate the various kinds of nuts. Upon weighing the nuts, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises.

Which of the following is the correct type of test to investigate your hypothesis?

Question 5 options:

Chi-squared goodness of fit test with 4 degrees of freedom

Chi-squared test of independence with 4 degrees of freedom

Chi-squared test of independence with 5 degrees of freedom

Chi-squared goodness of fit test with 5 degrees of freedom

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Question 6(4 points)

A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, 10% hazelnuts, and the rest are peanuts. You buy a can of nuts and separate the various kinds of nuts. Upon weighing the nuts, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises.

Based on the company's claim, how many grams of almonds should you expect in your can of nuts?

Question 6 options:

509.5

101.9

203.8

407.6

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Question 7(4 points)

A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, 10% hazelnuts, and the rest are peanuts. You buy a can of nuts and separate the various kinds of nuts. Upon weighing the nuts, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises.

What are the X^2 and p-value for the test?

Question 7 options:

X^2 = 16.2 p = .003

X^2 = 15.5 p = .047

X^2 =16.2 p = .030

X^2 =12.7 p = .098

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Question 8(4 points)

A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, 10% hazelnuts, and the rest are peanuts. You buy a can of nuts and separate the various kinds of nuts. Upon weighing the nuts, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises.

What is the correct conclusion for the test?

Question 8 options:

No conclusion can be drawn.

There are too many peanuts in the mixture.

The company's claim is not accurate.

The company's claim is accurate.

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