t a large university, 68% of the students have a laptop, while only 43% of professors have one. Let  and  be the sample proportions of students and professors, respectively, who have a laptop. Suppose 56 students and 31 professors from this university are selected at random and asked if they have a laptop. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of  ? The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.012 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.035 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.109 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.25 from the true difference in proportions.

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At a large university, 68% of the students have a laptop, while only 43% of professors have one. Let  and  be the sample proportions of students and professors, respectively, who have a laptop. Suppose 56 students and 31 professors from this university are selected at random and asked if they have a laptop.

Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of  ?

The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.012 from the true difference in proportions.
The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.035 from the true difference in proportions.
The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.109 from the true difference in proportions.
The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.25 from the true difference in proportions.
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