A researcher would like to test whether there is any significant difference between the proportion of safety consciousness of men and women while driving a car. In a sample of 300 men, 130 said that they used seat belts. In a sample of 300 women, 90 said that they used seat belts. Test the claim that there is no significant difference between the proportion of safety consciousness of men and women while driving a car at 5% level of significance. (Given that Z0.025 = 1.96)
To test the claim that there is no significant difference between the proportion of safety consciousness of men and women while driving a car, we can use a hypothesis test for the difference between two proportions. The null hypothesis (\(H_0\)) would assume no difference, and the alternative hypothesis (\(H_a\)) would assert a significant difference. The significance level (\(\alpha\)) is given as 0.05, and the critical value for a two-tailed test at this significance level ______ ___ ________ ______ ____ ___ _________.
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