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, $\boxed{5}$