Question

It is believed that the women with some education beyond high school (H) are more likely to use contraceptives compared to women with an education level at or below a high school level (L). A study was conducted to test this claim and found out that 201 among 613 low-educated women (L) use contraceptives and 228 out of 848 women with some education beyond high school (H) use contraceptives. Does it appear that better-educated women are more likely to use contraceptives compared to low-educated women? Conduct a test of hypothesis at 5% level of significance. What is the p-value for the test?

Answer 1

Solution :- Given That :- X1 = n1 = 228 848 X2 = n2 = 201 613 0.05 95% 1 = X1/n1 = 0.27 C.= Pa = x21 n2 = 0.33 Hypothesis :- Ho: P1 = P2 Ha: P1 > P2 ô . 0.29 - n + N₂ This is a Right tailed Test Test Statistic :- (P1-P2)-0 Z= 7 -0.06 0.024144 VÝ(1-P) (n + ) Z stat = -2.445 Z Critical Value:- By using Z value table at a = Z Critical Value = 0.05 1.640 P - Value:- By using P value table at Z = P Value = -2.445 0.9928 P-Value = 0.9928 Significance Level = 0.05 Conclusion: It is concluded that Null Hypothesis is not rejected.