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Question 15 (1 point) A USA Today article claims that the proportion of people who believe...

Question 15 (1 point)

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.63, but given the number of people you've talked to about this same issue, you believe it is less than 0.63. The hypotheses for this test are Null Hypothesis: p ≥ 0.63, Alternative Hypothesis: p < 0.63. You take a random sample and perform a hypothesis test, getting a p-value of 0.5939. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 15 options:

1)

We did not find enough evidence to say the proportion of people who believe global warming is a serious issue is less than 0.63.

2)

We did not find enough evidence to say a significant difference exists between the proportion of people who believe global warming is a serious issue and 0.63

3)

We did not find enough evidence to say the proportion of people who believe global warming is a serious issue is larger than 0.63.

4)

The proportion of people who believe global warming is a serious issue is significantly less than 0.63.

5)

The proportion of people who believe global warming is a serious issue is greater than or equal to 0.63.

Question 16 (1 point)

A medical researcher wants to determine if the average hospital stay of patients that undergo a certain procedure is less than 8.2 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 8.2, Alternative Hypothesis: μ < 8.2. If the actual mean is 25.2 days and the null hypothesis is rejected, did a type I, type II, or no error occur?

Question 16 options:

1)

We do not know the degrees of freedom, so we cannot determine if an error has occurred.

2)

We do not know the p-value, so we cannot determine if an error has occurred.

3)

No error has occurred.

4)

Type II Error has occurred

5)

Type I Error has occurred.

Question 17 (1 point)

Is there a relationship between car purchases and political party? You make a tabulation of people who were asked about the origin of their primary car and their political party affiliation. To determine if Political Party and Car Origin are dependent, what are the appropriate hypotheses?

Question 17 options:

1)

HO: Political Party and Car Origin are associated with one another.
HA: Political Party and Car Origin are independent of each other.

2)

HO: Political Party and Car Origin are independent of one another.
HA: Political Party and Car Origin are dependent on each other.

3)

HO: Political Party and Car Origin are independent of each other.
HA: Political Party and Car Origin display a positive correlation.

4)

HO: Political Party and Car Origin are not related to one another.
HA: Political Party and Car Origin display a negative correlation.

5)

There is not enough information to choose the correct set of hypotheses.

Question 24 (1 point)

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, the percentage of body fat of an athlete, and age. The researcher calculates the regression equation as (weight) = 4.162*(height) + 1.008*(percent body fat) - 0.714*(age) - 94.618. If a female athlete is 70 inches tall, has a 19 percentage of body fat, and is 20 years old, what is her expected weight?

Question 24 options:

1)

390.83

2)

201.594

3)

40.74

4)

296.212

5)

We do not know the observations in the data set, so we cannot answer that question.

Question 25 (1 point)

Suppose that a researcher studying the weight of female college athletes wants to predict the weights based on height, measured in inches, the percentage of body fat of an athlete, and age. The researcher calculates the regression equation as (weight) = 4.217*(height) + 1.408*(percent body fat) - 1.023*(age) - 81.473. If a female athlete is 68 inches tall, has a 21 percentage of body fat, is 24 years old, and has a weight of 207.575, the residual is -2.724. Choose the correct interpretation of the residual.

Question 25 options:

1)

The weight of the athlete is 2.724 pounds greater than what we would expect.

2)

The weight of the athlete is 207.575 pounds less than what we would expect.

3)

The height of the athlete is 2.724 inches larger than what we would expect.

4)

The weight of the athlete is 2.724 pounds less than what we would expect.

5)

The height of the athlete is 2.724 inches less than what we would expect.

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