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- Exam 4: chapters 8, 9, & 10
Practice final exam for use with Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.
- Each question has exactly one best answer.
- Each question is worth 3 points for a total of 54 points (4 bonus points possible).
Questions 1 – 3 refer to the following:
Last year, President Bush granted a tax-cut check to all income tax filers. In doing so, it was reported that he thought that at least 30% of the households would use the tax-cut check to increase spending. According to a report by the University of Michigan Research Center (Wall Street Journal, Feb. 26, 2002), 220 of the 1000 people surveyed said that the 2001 tax-cut check they received has led them to increase spending.
A Type II error is to:
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A
Conclude that the proportion of people that would use the tax-cut check to increase spending is less than 30% when in fact the proportion is at least 30%.
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B
Conclude that the proportion of people that would use the tax-cut check to increase spending is at least 30% when in fact the proportion is less than 30%.
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C
Conclude that the proportion of people that would use the tax-cut check to increase spending is less than 22% when in fact the proportion is at least 22%.
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D
Conclude that the proportion of people that would use the tax-cut check to increase spending is at least 22% when in fact the proportion is less than 22%.
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Which of the following is the correct decision to make for the test?
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A
Reject the null hypothesis.
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B
Do not reject the null hypothesis.
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C
The test is inconclusive.
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Questions 4 – 6 refer to the following:
According to an article by George Will (San Jose Mercury News, Feb. 28, 2002), the average U.S. consumption per person per year of French Fries is 28 pounds. Suppose that you believe that the average in Santa Clara County is not 28 pounds. You randomly survey 50 people in this county. The sample average is 24 pounds with a sample standard deviation of 10 pounds. Conduct an appropriate hypothesis test.
At the 5% level, the correct conclusion is:
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A
The average consumption in Santa Clara County is less than 28 pounds.
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B
The average consumption in Santa Clara County is not 28 pounds.
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C
The average consumption in Santa Clara County is less than 24 pounds.
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D
The average consumption in Santa Clara County is 24 pounds.
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Questions 7 and 8 refer to the following:
A hospital administrator wants to determine the proportion of emergency room patients that use the emergency room (ER) for non-emergency care. She randomly samples records from 350 ER patients and determines that 74 of those patients required only non-emergency care.
The administrator constructs a 90% confidence interval for the true proportion of all ER patients who use the ER for non-emergency care. The error bound for the proportion EBP for this confidence interval is:
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A
0.036
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B
0.072
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C
0.030
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D
0.106
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If the same data were used but the confidence level used was 95% instead of 90%, the error bound for the proportion EBP would be:
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A
larger
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B
the same
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C
smaller
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D
we are unable to determine unless another sample is obtained
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Source:
OpenStax, Collaborative statistics: supplemental course materials. OpenStax CNX. Oct 01, 2008 Download for free at http://legacy.cnx.org/content/col10586/1.2
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