Use the Internet or a newspaper or magazine to find an example of a claim made by a political or special-interest group about some char- acteristic (e.g., favor gun control) of the U.S. population. In this activity, you represent a rival group that believes the claim may be false. 1. In your example, what kinds of evidence might exist which would cause one to suspect that the claim might be false and therefore worthy of a statistical study? Be specific. If the claim were false, how would consumers be hurt? 2. Describe what data are relevant and how that data might be collected. 3. Explain the steps necessary to reject the group's claim at level a. State the null and alternative hypotheses. If you reject the claim, does it mean that the claim is false? 4. If you reject the claim when the claim is actually true, what type of error has occurred? What is the probability of this error occurring? 5. If you were to file a lawsuit against the group based on your rejection of its claim, how might the group use your results to defend itself?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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Activity Challenging a Claim: Tests of Hypotheses
Use the Internet or a newspaper or magazine to find an example of a
claim made by a political or special-interest group about some char-
acteristic (e.g., favor gun control) of the U.S. population. In this activity,
you represent a rival group that believes the claim may be false.
1. In your example, what kinds of evidence might exist which
would cause one to suspect that the claim might be false and
therefore worthy of a statistical study? Be specific. If the claim
were false, how would consumers be hurt?
2. Describe what data are relevant and how that data might be
collected.
3. Explain the steps necessary to reject the group's claim at level
State the null and alternative hypotheses. If you reject the
claim, does it mean that the claim is false?
a.
4. If you reject the claim when the claim is actually true, what
type of error has occurred? What is the probability of this error
occurring?
5. If you were to file a lawsuit against the group based on your
rejection of its claim, how might the group use your results to
defend itself?
Transcribed Image Text:Activity Challenging a Claim: Tests of Hypotheses Use the Internet or a newspaper or magazine to find an example of a claim made by a political or special-interest group about some char- acteristic (e.g., favor gun control) of the U.S. population. In this activity, you represent a rival group that believes the claim may be false. 1. In your example, what kinds of evidence might exist which would cause one to suspect that the claim might be false and therefore worthy of a statistical study? Be specific. If the claim were false, how would consumers be hurt? 2. Describe what data are relevant and how that data might be collected. 3. Explain the steps necessary to reject the group's claim at level State the null and alternative hypotheses. If you reject the claim, does it mean that the claim is false? a. 4. If you reject the claim when the claim is actually true, what type of error has occurred? What is the probability of this error occurring? 5. If you were to file a lawsuit against the group based on your rejection of its claim, how might the group use your results to defend itself?
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