In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 69 out of 197 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a = 0.05 level of significance. What is the hypothesized population proportion for this test? P = (Round answer to 2 decimal places. Do not use the percent symbol.) Based on the statement of this problem, how many tails would this hypothesis test have? O one-tailed test O two-tailed test Choose the correct pair of hypotheses for this situation: O Ho:p = 0.3 and Ha:p / 0.3 O Ho:p = 0.3 and Ha :p > 0.3 Ho:p = 0.3 and Ha:p 0.35 What is the test statistic for this sample? z = (Round answer to 2 decimal places.) What is the P-value for this sample? P-value = (Round answer to 4 decimal places.) This P-value (and test statistic) leads to a decision to... O reject the null hypothesis O prove the null hypothesis O fail to reject the null hypothesis O prove the alternative hypothesis As such, the final conclusion is that... There is sufficient evidence to reject the assertion that there is a different proportion of only children in the GOT program. There is not sufficient evidence to reject the assertion that there is a different proportion of only children in the GOT program. There is sufficient evidence to conclude that there is a different proportion of only children in the GOT program. O There is not sufficient evidence to conclude that there is a different proportion of only children in the GOT program