The sample data support the assertion that there is a different proportion of only children in the G&T program. There is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the G&T program Question Help: 8 Message instructor 0 Question 9 E 0/1 pt '0 3 3 99 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, 102 out of 289 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 = 0.02 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? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (D) (E) (F) (A) (B) (C) (D) (E) (F) 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 ammo! 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 onlychildren in the G&T program. The sample data support the assertion that there is a different proportion of only children in the G&T program. There is not sufficient sample evidence to support the assertion that there is a different proportion of only children in the GEtT program. 4 Question Help: 8 Message instructor . Question 10 80/1 pt '03 399 In a certain school district, it was observed that 35% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 151 out of 376 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 = 0.02 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? one-tai led test 'two-tailed test Choose the correct pair of hypot'leses for this situation: (D) (Ell (F)| (A) 15) (C) (D) (E) _(F) 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. V ' The sample data support the assertion that there is a different proportion of only children in the Question Help: Message instructor G&T program. There is not sufficient sample evidence to support the assertion that there is a different . Question 12 E 0/1 Pt '0 3 Z 99 proportion of only children in the G&T program. Test the claim that the proportion of men who own cats is significantly different than 15% at the 0.2 significance level. ' > The null and alternative hypothesis would be: Question Help: 8 Message instructor H0 :11 0.15 H0337 0,15 H041. How. Hugo 0.15 How. H1:p70.15 ng b Question 11 80/1 pt '0 3 399 Given p = 0.2857 and N = 35 for the high Income group, The test is: Test the claim that the proportion of children in the high income group that drew the nickel too right-tailed left-tai led two-tailed large is smaller than 50%. Test at the 0.05 significance level. ' a) Identify the correct alternative hypothesis: ,7 p _ 50 In a random sample of 115 men, 63 men owned cats. 11 > .50 The P-value of this sample is (to 4 decimals). u .50 P