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Sample Proportion 1
Favorable Cases 1
Sample Size 1
Sample Proportion 2
Favorable Cases 2
Sample Size 2
The value of the pooled proportion is computed as
The following null and alternative hypotheses for the population proportion needs to be tested:
This corresponds to a two-tailed test, and a z-test for two population proportions will be used.
Based on the information provided, the significance level is and the critical value for a two-tailed test is
The rejection region for this two-tailed test is
The z-statistic is computed as follows:
Since it is observed that it is then concluded that the null hypothesis is rejected.
Using the P-value approach: The p-value is and since it is concluded that the null hypothesis is rejected.
Therefore, there is enough evidence to claim that the population proportion is different than at the significance level.
Hence we conclude that there is difference between the men and women in their attitude towards the bus stop near their residence at the significance level.