The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point estimate of the difference in the population proportion of females that work at UF versus males.

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Answer:

-0.089

Step-by-step explanation:

Given that:

Males - Group 2:

Total number of males, n = 874

Number that said yes, = 396

P1 = 396 / 874 = 0.453

Females - Group 1 :

Total number of Females, n = 902

Number that said yes, = 489

P2 = 489 / 902 = 0.542

Point estimate of the difference in sample proportion:

P1 - P2

0.453 - 0.542

= −0.089