The State Association of Retired Teachers has recently taken flak from some of its members regarding the poor choice of the association's name. The association's by-laws require that more than 60 percent of the association must approve a name change. Rather than convene a meeting, it is first desired to use a sample to determine if meeting is necessary. Suppose the association decided to conduct a test of hypothesis using the following null and alternative hypotheses: H 0: p = 0.6 H 1: p > 0.6 Define a Type I Error in the context of this problem. Group of answer choices: A. They conclude that exactly 60% of the association wants a name change when that is, in fact, true. B. They conclude that exactly 60% of the association wants a name change when, in fact, that is not true. C. They conclude that more than 60% of the association wants a name change when that is, in fact, true. D. They conclude that more than 60% of the association wants a name change when, in fact, that is not true.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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The State Association of Retired Teachers has recently taken flak from some of its members regarding the poor choice of the association's name. The association's by-laws require that more than 60 percent of the association must approve a name change. Rather than convene a meeting, it is first desired to use a sample to determine if meeting is necessary. Suppose the association decided to conduct a test of hypothesis using the following null and alternative hypotheses:

H 0: p = 0.6

H 1: p > 0.6

Define a Type I Error in the context of this problem.

Group of answer choices:

A. They conclude that exactly 60% of the association wants a name change when that is, in fact, true.

B. They conclude that exactly 60% of the association wants a name change when, in fact, that is not true.

C. They conclude that more than 60% of the association wants a name change when that is, in fact, true.

D. They conclude that more than 60% of the association wants a name change when, in fact, that is not true.

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Why isn't H0: P=> 0.6 and H1: P<0.6

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