The State Association of Retired Teachers Has Recently Taken Flak $$\begin{array} { l } \mathrm { H } _ { 0 } : \mathrm { p } = 0.6 \\\mathrm { H } _ { \mathrm { A } } : \mathrm { p } > 0.6\end{array}$$

Multiple Choice

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:
$$\begin{array} { l } \mathrm { H } _ { 0 } : \mathrm { p } = 0.6 \\\mathrm { H } _ { \mathrm { A } } : \mathrm { p } > 0.6\end{array}$$
Define a Type I Error in the context of this problem.

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