Question

In: Statistics and Probability

2. In a random sample of 360 females, 65% of them favored stricter gun control laws....

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

Solutions

Expert Solution

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


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