Question 11(1 point)

Professors in the Economics Department at Western want to determine how challenging the program was for students. Out of a random sample of 18 students, 13 indicated that the program was either "challenging" or "very challenging". The 90% confidence interval estimating the proprotion of all students in the department who thought the program was challenging is given by which of the following?

Question 11 options:

1)

( 0.10413 , 0.45143 )

2)

( -0.54857 , 0.89587 )

3)

( 0.58693 , 0.85752 )

4)

( 0.54857 , 0.89587 )

5)

( 0.61665 , 0.82779 )

Question 12(1 point)

In the year 2000, the average car had a fuel economy of 21.1 MPG. You are curious as to whether the average in the present day is greater than the historical value. What are the appropriate hypotheses for this test?

Question 12 options:

1)

H_O: < 21.1

H_A: 21.1

2)

H_O: > 21.1

H_A: 21.1

3)

H_O: 21.1

H_A: < 21.1

4)

H_O: 21.1

H_A: > 21.1

5)

H_O: = 21.1

H_A: 21.1

Question 13(1 point)

In the year 2000, the average vehicle had a fuel economy of 21.96 MPG. You are curious as to whether the average in the present day is less than the historical value. The hypotheses for this scenario are as follows: Null Hypothesis: 21.96, Alternative Hypothesis: < 21.96. A random sample of 32 vehicles shows an average economy of 22.74 MPG with a standard deviation of 4.835 MPG. What is the test statistic and p-value for this test?

Question 13 options:

1)

Test Statistic: 0.913, P-Value: 0.8157

2)

Test Statistic: -0.913, P-Value: 0.1843

3)

Test Statistic: 0.913, P-Value: 0.1843

4)

Test Statistic: 0.913, P-Value: 1.6314

5)

Test Statistic: -0.913, P-Value: 0.8157

Question 14(1 point)

Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants less than the average stock price for fast food restaurants? A hypothesis test for two independent samples is run on data recorded from the stock exchange and a p-value is calculated to be 0.6807. What is the appropriate conclusion?

Question 14 options:

1)

We did not find enough evidence to say the average stock price of sit-down restaurants is greater than the average stock price of fast food restaurants.

2)

The average stock price of sit-down restaurants is greater than or equal to the average stock price of fast food restaurants.

3)

We did not find enough evidence to say a significant difference exists between the average stock price of sit-down restaurants and the average stock price of fast food restaurants.

4)

The average stock price of sit-down restaurants is significantly less than the average stock price of fast food restaurants.

5)

We did not find enough evidence to say the average stock price of sit-down restaurants is less than the average stock price of fast food restaurants.

Question 15(1 point)

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.54, but given the number of people you've talked to about this same issue, you believe it is less than 0.54. The hypotheses for this test are Null Hypothesis: p 0.54, Alternative Hypothesis: p < 0.54. You take a random sample and perform a hypothesis test, getting a p-value of 0.0277. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 15 options:

1)

The proportion of people who believe global warming is a serious issue is significantly different from 0.54.

2)

The proportion of people who believe global warming is a serious issue is significantly less than 0.54.

3)

The proportion of people who believe global warming is a serious issue is greater than or equal to 0.54.

4)

We did not find enough evidence to say the proportion of people who believe global warming is a serious issue is less than 0.54.

5)

The proportion of people who believe global warming is a serious issue is significantly larger than 0.54.

Question 16(1 point)

It is reported in USA Today that the average flight cost nationwide is $447.38. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually different from $447.38. The hypotheses for this situation are as follows: Null Hypothesis: = 447.38, Alternative Hypothesis: 447.38. If the true average flight cost nationwide is $447.38 and the null hypothesis is not rejected, did a type I, type II, or no error occur?

Question 16 options:

1)

Type I Error has occurred.

2)

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

3)

Type II Error has occurred

4)

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

5)

No 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)

H_O: Political Party and Car Origin are related to one another.

H_A: Political Party and Car Origin are independent of each other.

2)

H_O: Political Party and Car Origin are not related to one another.

H_A: Political Party and Car Origin display a negative correlation.

3)

H_O: Political Party and Car Origin are independent of each other.

H_A: Political Party and Car Origin are related to one another.

4)

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

5)

H_O: Political Party and Car Origin are not related to one another.

H_A: Political Party and Car Origin display a positive correlation.