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In a random sample of 50 men, 40% said they preferred to walk up stairs rather than take the elevator. In a random sample of 40 women, 50% said they preferred the stairs. The difference between the two sample proportions (men - women) is to be calculated.
-What is the standard error for the difference between the two sample proportions?
A) 0.0111
B) 0.0972
C) 0.1051
D) 0.1160

Question

Use the following information for questions:
 In a random sample of 50 men, 40% said they preferred to walk up stairs rather than take the elevator. In a random sample of 40 women, 50% said they preferred the stairs. The difference between the two sample proportions (men - women) is to be calculated.
-What is the standard error for the difference between the two sample proportions?
A) 0.0111
B) 0.0972
C) 0.1051
D) 0.1160

Quizplus · Accepted Answer

The standard error for the difference between two sample proportions is calculated using the formula: SE = sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)], where p1 and p2 are the sample proportions and n1 and n2 are the sample sizes. Substituting the given values, SE = sqrt[(0.4(0.6)/50) + (0.5(0.5)/40)] = 0.1051.

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