Choose the correct pair of hypotheses for this situation:
(A) (B) (C) (D) (E) (F) $\sigma^{6}$
Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for this sample based on the sample proportion?
\[
z=
\]
(Report answer as a decimal accurate to 3 decimal places.)
You are now ready to calculate the P-value for this sample.
$P$-value $=$
(Report answer as a decimal accurate to 4 decimal places.)
This $P$-value (and test statistic) leads to a decision to...
reject the null
accept the null
fail to reject the null
reject the alternative
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G\&T program.
There is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G\&T program.
The sample data support the assertion that there is a different proportion of only children in the GET program.

There is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the GaT program.

Step 1 ：Choose the correct pair of hypotheses for this situation: (A) (B) (C) (D) (E) (F) $\sigma^{6}$

Step 2 ：Using the normal approximation for the binomial distribution (without the continuity correction), calculate the test statistic for this sample based on the sample proportion. The test statistic is represented as $z$ and should be reported as a decimal accurate to 3 decimal places.

Step 3 ：Calculate the P-value for this sample. The P-value should be reported as a decimal accurate to 4 decimal places.

Step 4 ：Based on the P-value and test statistic, make a decision to either reject the null, accept the null, fail to reject the null, or reject the alternative.

Step 5 ：Based on the decision made, conclude whether there is sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program, or whether there is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of only children in the G&T program, or whether the sample data support the assertion that there is a different proportion of only children in the GET program, or whether there is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the GaT program.

Step 6 ：The final answer should be presented in a clear and concise manner, using the appropriate mathematical notation and typesetting. The final answer should be boxed using boxed, for example, $\boxed{5}$