In: Statistics and Probability
2. In a random sample of 360 females, 65% of them favored stricter gun control laws. In another sample of 220 females, 60% of them favored stricter gun control laws. Is there any significant difference between the proportions of male and female who favored stricter gun control laws? Explain your answer. Calculator work
H0: Null Hypothesis: P1 = P2 ( There is no significant difference between the proportions of male and female who favored stricter gun control laws
HA: Alternative Hypothesis: P1 P2 ( There is significant difference between the proportions of male and female who favored stricter gun control laws
The Test Statistic is given by:
Take = 0.05
From Table, critical values of Z = 1.96
Since calculated value of Z = 1.211 is less than critical value of Z = 1.96, the difference is not significant. Fail to reject null hypothesis.
Conclusion:
The data do not support the claim that there is significant difference between the proportions of male and female who favored stricter gun control laws