A polling agency wants to compare the support for the president’s foreign polici

Question

A polling agency wants to compare the support for the president’s foreign policies between men and women. The agency surveyed 2500 U.S. citizens and found a 95% confidence interval for the difference in proportions between men (population 1) and women (population 2) who support the president’s foreign policies as (-0.05, -0.025). The correct interpretation of this result is that

The interval estimates that women are more likely than men to support the president’s foreign policies.

The interval estimates that men are more likely than women to support the president’s foreign policies.

The interval does not contain 0, which shows that there is no significant difference in the proportions between men and women.

The number surveyed should be increased to increase the accuracy of the confidence interval.

The interval estimates that women are more likely than men to support the president’s foreign policies.

The interval estimates that men are more likely than women to support the president’s foreign policies.

The interval does not contain 0, which shows that there is no significant difference in the proportions between men and women.

The number surveyed should be increased to increase the accuracy of the confidence interval.

Explanation / Answer

SInce confidence interval does not contain zero and all values of the interval are negative so we can conclude that "The interval estimates that women are more likely than men to support the president’s foreign policies."

Option a is correct.

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