1. Active Learning Lecture Slides
For use with Classroom Response Systems
Chapter 11:
Testing Hypothesis About Proportions
Business Statistics First Edition
by Sharpe, De Veaux, Velleman
Copyright © 2010 Pearson Education, Inc.
Slide 10- 1 1

2. Copyright © 2010 Pearson Education, Inc.
A P-value for a hypothesis test indicates
the probability that the null hypothesis is true.
the probability that the alternative hypothesis is true.
the probability of the observed statistic given that the null hypothesis is true.
the probability of the observed statistic given that the alternative hypothesis is true.
Copyright © 2010 Pearson Education, Inc.

3. Copyright © 2010 Pearson Education, Inc.
A P-value for a hypothesis test indicates
the probability that the null hypothesis is true.
the probability that the alternative hypothesis is true.
the probability of the observed statistic given that the null hypothesis is true.
the probability of the observed statistic given that the alternative hypothesis is true.
Copyright © 2010 Pearson Education, Inc.

4. Copyright © 2010 Pearson Education, Inc.
A small P-value indicates either that the observation is improbable or that the probability calculation was based on incorrect assumptions.
True
False
Copyright © 2010 Pearson Education, Inc.

5. Copyright © 2010 Pearson Education, Inc.
A small P-value indicates either that the observation is improbable or that the probability calculation was based on incorrect assumptions.
True
False
Copyright © 2010 Pearson Education, Inc.

6. Copyright © 2010 Pearson Education, Inc.
In a hypothesis test, the null hypothesis typically represents the status quo.
True
False
Copyright © 2010 Pearson Education, Inc.

7. Copyright © 2010 Pearson Education, Inc.
In a hypothesis test, the null hypothesis typically represents the status quo.
True
False
Copyright © 2010 Pearson Education, Inc.

8. Copyright © 2010 Pearson Education, Inc.
According to a June 2004 Gallup poll, 28% of Americans experienced times when they haven’t been able to afford medical care. Is this proportion higher for black Americans than for all Americans? In a random sample of 801 black Americans, 38% reported that there had been times in the last year when they had not been able to afford medical care. Which type of hypothesis test would you use?
One-tail upper tail
One-tail lower tail
Two-tail
Both A and B
Copyright © 2010 Pearson Education, Inc.

9. Copyright © 2010 Pearson Education, Inc.
According to a June 2004 Gallup poll, 28% of Americans experienced times when they haven’t been able to afford medical care. Is this proportion higher for black Americans than for all Americans? In a random sample of 801 black Americans, 38% reported that there had been times in the last year when they had not been able to afford medical care. Which type of hypothesis test would you use?
One-tail upper tail
One-tail lower tail
Two-tail
Both A and B
Copyright © 2010 Pearson Education, Inc.

10. Copyright © 2010 Pearson Education, Inc.
A statistics professor wants to see if more than 80% of her students enjoyed taking her class. At the end of the term she surveys a random sample of students from her large class. Which set of hypotheses should she test?
H0: p < HA: p > 0.80
H0: p = HA: p > 0.80
H0: p > HA: p = 0.80
H0: p = HA: p < 0.80
Copyright © 2010 Pearson Education, Inc.

11. Copyright © 2010 Pearson Education, Inc.
A statistics professor wants to see if more than 80% of her students enjoyed taking her class. At the end of the term she surveys a random sample of students from her large class. Which set of hypotheses should she test?
H0: p < HA: p > 0.80
H0: p = HA: p > 0.80
H0: p > HA: p = 0.80
H0: p = HA: p < 0.80
Copyright © 2010 Pearson Education, Inc.

12. Copyright © 2010 Pearson Education, Inc.
After collecting data from her class, the statistics professor calculates a z statistic of Which of the following is true?
The P-value is and conclude that more than 80% of the students enjoyed her class.
The P-value is and conclude that more than 80% of the students enjoyed her class.
The P-value is and conclude that less than 80% of the students enjoyed her class.
The P-value is and conclude that less than 80% of the students enjoyed her class.
Copyright © 2010 Pearson Education, Inc.

13. Copyright © 2010 Pearson Education, Inc.
After collecting data from her class, the statistics professor calculates a z statistic of Which of the following is true?
The P-value is and conclude that more than 80% of the students enjoyed her class.
The P-value is and conclude that more than 80% of the students enjoyed her class.
The P-value is and conclude that less than 80% of the students enjoyed her class.
The P-value is and conclude that less than 80% of the students enjoyed her class.
Copyright © 2010 Pearson Education, Inc.

14. Copyright © 2010 Pearson Education, Inc.
An online catalog company wants on-time delivery for at least 90% of the orders they ship. They have been shipping orders via UPS and FedEx but is considering a new, cheaper delivery service (ShipFast). The company sends a random sample of orders via ShipFast, and then makes follow-up phone calls to see if these orders arrived on time. To test if ShipFast meets their requirements, which hypotheses should they test?
H0: p < HA: p > 0.90
H0: p = HA: p > 0.90
H0: p > HA: p = 0.90
H0: p = HA: p < 0.90
Copyright © 2010 Pearson Education, Inc.

15. Copyright © 2010 Pearson Education, Inc.
An online catalog company wants on-time delivery for at least 90% of the orders they ship. They have been shipping orders via UPS and FedEx but is considering a new, cheaper delivery service (ShipFast). The company sends a random sample of orders via ShipFast, and then makes follow-up phone calls to see if these orders arrived on time. To test if ShipFast meets their requirements, which hypotheses should they test?
H0: p < HA: p > 0.90
H0: p = HA: p > 0.90
H0: p > HA: p = 0.90
H0: p = HA: p < 0.90
Copyright © 2010 Pearson Education, Inc.

16. Copyright © 2010 Pearson Education, Inc.
Based on sample data, the online catalog company considering ShipFast conducts the hypothesis test and calculates a z statistic of Which of the following is true?
The P-value is so we conclude that ShipFast meets the company’s requirements for on-time delivery.
The P-value is so we conclude that ShipFast meets the company’s requirements for on-time delivery.
The P-value is so we conclude that ShipFast does not meet the company’s requirements for on-time delivery.
The P-value is so we conclude that ShipFast does not meet the company’s requirements for on-time delivery.
Copyright © 2010 Pearson Education, Inc.

17. Copyright © 2010 Pearson Education, Inc.
Based on sample data, the online catalog company considering ShipFast conducts the hypothesis test and calculates a z statistic of Which of the following is true?
The P-value is so we conclude that ShipFast meets the company’s requirements for on-time delivery.
The P-value is so we conclude that ShipFast meets the company’s requirements for on-time delivery.
The P-value is so we conclude that ShipFast does not meet the company’s requirements for on-time delivery.
The P-value is so we conclude that ShipFast does not meet the company’s requirements for on-time delivery.
Copyright © 2010 Pearson Education, Inc.

18. Copyright © 2010 Pearson Education, Inc.
The threshold for a P-value that determines when we reject a null hypothesis is called the
alpha level.
power.
beta level.
confidence level.
Copyright © 2010 Pearson Education, Inc.

19. Copyright © 2010 Pearson Education, Inc.
The threshold for a P-value that determines when we reject a null hypothesis is called the
alpha level.
power.
beta level.
confidence level.
Copyright © 2010 Pearson Education, Inc.

20. Copyright © 2010 Pearson Education, Inc.
We commit a Type II error when we reject the null hypothesis when it is true.
True
False
Copyright © 2010 Pearson Education, Inc.

21. Copyright © 2010 Pearson Education, Inc.
We commit a Type II error when we reject the null hypothesis when it is true.
True
False
Copyright © 2010 Pearson Education, Inc.