questions 10&11&12 all go together

A traveling agency surveys 960 Canadians citizens that have lived in another country; 196 of them reported being born in another country. Similarly, 164 out of 1250 Americans that have lived in another country reported being foreign-born. Suppose these two samples are random and independent. The researchers want to test if the proportions of citizens that have lived in another country are the same between the US and Canada. Which of the following would be an appropriate test statistic for their test? Select one: O a. 290.552 Ob. 21.163 O c. 12.711 O d. 4.604 What is an appropriate pair of hypotheses that your test statistic evaluates? (1) Ho : P1 = P2 VS. HA : PI # P2 (2) Ho : P1 = P2 VS. HA : P1 # P2 (3) Ho : #1 = M2 VS. HA : HI # #2 (4) Ho : P = 0.1312 vs. HA : P = 0.20416666666667 (5) Ho : X1 = $2 VS. HA : 51 = $2 (6) Ho : BI = 0 vs. HA : B1 # 0 Select one : O a. (1) O b. (2) O c. (3) Od. (4) O e. (5) Based on the test statistic in the previous question, what is your conclusion for the hypothesis test? (assume a = 0.05) Select one: O a. Since the P-value is greater than a, we fail to reject the null hypothesis and there is sufficient evidence to conclude that proportions of citizens that have lived abroad that were born in another country are the same in the United States as in Canada. O b. Since the P-value is greater than a, we fail to reject the null hypothesis and there is insufficient evidence to conclude that proportions of citizens that have lived abroad that were born in another country are not the same in the United States as in Canada. O c. Since the P-value is less than a, we reject the null hypothesis and there is sufficient evidence to conclude that proportions of citizens that have lived abroad that were born in another country are not the same in the United States as in Canada. d. Since the P-value is less than a, we reject the null hypothesis and there is insufficient evidence to conclude that proportions of citizens that have lived abroad that were born in another country are not the same in the United States as in Canada