Solve the problem. The State Association of Retired Teachers has recently taken flak from some of its...

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The State Association of Retired Teachers has recently taken flakfrom some of its members regarding the poor choice of theassociation's name. The association's by-laws require that morethan 60 percent of the association must approve a name change.Rather than convene a meeting, it is first desired to use a sampleto determine if meeting is necessary. Suppose the associationdecided to conduct a test of hypothesis using the following nulland alternative hypotheses:

H₀: p = 0.6
H_A: p > 0.6

Define a Type II Error in the context of this problem.
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A.They conclude that more than 60% of the association wants aname change when, in fact, that is not true.
B.They conclude that exactly 60% of the association wants a namechange when that is, in fact, true.
C.They conclude that more than 60% of the association wants aname change when that is, in fact, true.
D.They conclude that exactly 60% of the association wants a namechange when, in fact, that is not true.
why is A wrong? which is correct?

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Solution The null and alternative hypotheses are as follows H0 p 06 ie Exactly 60 of the association wants a name change HA p 06 ie More than 60 of the association wants a name change Type II See Answer

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