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Question 5 (1 point) In a sample of 40 Major League Baseball (MLB) players, 16 of...

Question 5 (1 point)

In a sample of 40 Major League Baseball (MLB) players, 16 of them are left handed hitters. For a 95% confidence interval for the proportion of MLB players that bat left handed, what is the margin of error?

Question 5 options:

1)

0.0775

2)

0.0240

3)

0.1270

4)

0.1518

5)

0.0118

Question 6 (1 point)

Not all Walmart stores carry the same merchandise. In fact, in an audit of 1111 random stores, only 283 carried snowsuits seasonally. What is the 99% confidence interval estimate for the total number of Walmart stores that carry snowsuits?

Question 6 options:

1)

( 0.24165 , 0.2678 )

2)

( 0.22105 , 0.2884 )

3)

( 0.22432 , 0.28514 )

4)

( 0.7116 , 0.77895 )

5)

( -0.22105 , 0.2884 )

Question 7 (1 point)

To design a new advertising campaign, Ford Motor Company would like to estimate the proportion of drivers of the new Ford Fusion that are women. In a random sample of 88 Fusion owners, 44 of them were women. What is the 95% confidence interval estimating the proportion of all drivers who are women?

Question 7 options:

1)

( 0.41233 , 0.58767 )

2)

( 0.4467 , 0.5533 )

3)

( -0.39553 , 0.60447 )

4)

( 0.39553 , 0.60447 )

5)

( 0.39553 , 0.60447 )

Question 8 (1 point)

The Student Recreation Center wanted to determine what sort of physical activity was preferred by students. In a survey of 55 students, 35 indicated that they preferred outdoor exercise over exercising in a gym. They estimated the proportion of students at the university who prefer outdoor exercise as ( 0.53 , 0.7427 ), with 90% confidence. Which of the following is an appropriate interpretation of this confidence interval?

Question 8 options:

1)

We cannot determine the proper interpretation of this interval.

2)

We are 90% confident that the proportion of exercise time which the average student spends outdoors is between 0.53 and 0.7427.

3)

We are 90% confident that the proportion of all students at the university who prefer outdoor exercise is between 0.53 and 0.7427.

4)

We are certain that 90% of students will be between 0.53 and 0.7427.

5)

We are 90% confident that the proportion of students surveyed who prefer outdoor exercise is between 0.53 and 0.7427.

Question 9 (1 point)

Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 113 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 95% confidence interval of ( 0.2742 , 0.4515 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval?

Question 9 options:

1)

We are 95% confident that of the 113 respondents, between 0.2742 and 0.4515 responded positively to our new ad.

2)

We are certain that 95% of Americans will respond positively to our new ad.

3)

We are 95% confident that the proportion of Americans who will respond positively to our new ad is between 0.2742 and 0.4515.

4)

We cannot determine the proper interpretation of this interval.

5)

We are 95% confident that the proportion of those surveyed who respond positively to our new ad is between 0.2742 and 0.4515.

Question 10 (1 point)

Based on past data, the Student Recreation Center knew that the proportion of students who prefer exercising outside over exercising in a gym was 0.74. To update their records, the SRC conducted a survey. Out of 67 students surveyed, 56 indicated that they preferred outdoor exercise over exercising in a gym. The 95% confidence interval is ( 0.7471 , 0.9245 ). Which of the following statements is the best conclusion?

Question 10 options:

1)

The confidence interval does not provide enough information to form a conclusion.

2)

The proportion of students who have changed their exercise habits from 0.74 is 95%.

3)

We can conclude that the proportion of students who prefer outdoor exercise is larger than 0.74.

4)

We can not conclude that the proportion of students who prefer outdoor exercise differs from 0.74.

5)

We can claim that the proportion of students who prefer outdoor exercise is smaller than 0.74.
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