In preparation for contract-renewal negotiations, the United Manufacturing Workers surveyed its members to see whether they preferred a large increase in retirement benefi ts or a smaller increase in salary. In a group of 1,000 male members who were polled, 743 were in favor of increased retirement benefi ts. Of 500 female members surveyed, 405 favored the increase in retirement benefi ts. (a) Calculate pˆ. (b) Compute the standard error of the difference between the two proportions. (c) Test the hypothesis that equal proportions of men and women are in favor of increased retirement benefi ts. Use the 0.05 level of signifi cance

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