In a certain school district, it was observed that 35% of the students in the element schools wereclassified as only children (no siblings). However, in the special program for talented and giftedchildren, 160 out of 387 students are only children. The school district administrators want to knowif the proportion of only children in the special program is significantly different from the proportionfor the school district. Test at the a = 0.05 level of significance.What is the hypothesized population proportion for this test?p =(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)Based on the statement of this problem, how many tails would this hypothesis test have?O one-tailed testO two-tailed testChoose the correct pair of hypotheses for this situation:(A)(B)(C)Но: р— 0.35Ha:p 0.35(D)(E)(F)Ho:p= 0.413 Ho:p 0.413 Ho:p 0.413Ha:p 0.413(A)(E) (F)Co30 Using the normal approximation for the binomial distribution (without the continuity correction),what is the test statistic for this sample based on the sample proportion?(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..O reject the nullO accept the nullO fail to reject the nullO reject the alternativeAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the assertion that there is a differentproportion of only children in the G&T program.O There is not sufficient evidence to warrant rejection of the assertion that there is a differentproportion of only children in the G&T program.O The sample data support the assertion that there is a different proportion of only children inthe G&T program.O There is not sufficient sample evidence to support the assertion that there is a differentproportion of only children in the G&T program.

Name: In a certain school district, it was observed that 35% of the student
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: In a certain school district, it was observed that 35% of the students in the element schools wereclassified as only children (no siblings). However, in the special program for talented and giftedchildren, 160 out of 387 students are only children.

Question

In a certain school district, it was observed that 35% of the students in the element schools wereclassified as only children (no siblings). However, in the special program for talented and giftedchildren, 160 out of 387 students are only children. The school district administrators want to knowif the proportion of only children in the special program is significantly different from the proportionfor the school district. Test at the a = 0.05 level of significance.What is the hypothesized population proportion for this test?p =(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)Based on the statement of this problem, how many tails would this hypothesis test have?O one-tailed testO two-tailed testChoose the correct pair of hypotheses for this situation:(A)(B)(C)Но: р— 0.35Ha:p < 0.35Но: р — 0.35H:p+ 0.35Но:р— 0.35Haip> 0.35(D)(E)(F)Ho:p= 0.413 Ho:p 0.413 Ho:p 0.413Ha:p< 0.413 H.:p 0.413 Ha p> 0.413(A)(E) (F)Co30 Using the normal approximation for the binomial distribution (without the continuity correction),what is the test statistic for this sample based on the sample proportion?(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..O reject the nullO accept the nullO fail to reject the nullO reject the alternativeAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the assertion that there is a differentproportion of only children in the G&T program.O There is not sufficient evidence to warrant rejection of the assertion that there is a differentproportion of only children in the G&T program.O The sample data support the assertion that there is a different proportion of only children inthe G&T program.O There is not sufficient sample evidence to support the assertion that there is a differentproportion of only children in the G&T program.

Accepted Answer

The hypothesized population proportion for this test is p = 0.35.
The claim of the test is: the…