In: Statistics and Probability
1. 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.
Group of answer choices
a. Unknown
b. -0.026
c. -0.089
d. -0.048
e. -0.098
2. Match the following scenarios with the correct test.
Test options are 1 of the 3 following:
Group of answer choices
(a.) A sales manager wants to know if the total count of commissions received by the company's sales team depends on sales methods (Memorized, Formula, Need-Satisfaction, and Problem-Solution) and business quarter (Q1, Q2, Q3, or Q4). The sales manager wants to know if these two factors are independent of each other.
- Chi Square Test of Independence
- Chi Square Homogeneity Test
- Chi Square Goodness of Fit
(b.) A sales manager wants to estimate the number of commissions received throughout the year (quarter by quarter). He has historic predictions in the form of percents, and then he collects the actual counts of the each quarter.
- Chi Square Test of Independence
- Chi Square Homogeneity Test
- Chi Square Goodness of Fit
(c.) A sales manager wants to know the general satisfaction of Long-Term and Short-Term clients regarding their experience with the companies sales representatives. The results to the survey were either "Satisfied", "Somewhat Satisfied", and "Unsatisfied".
- Chi Square Test of Independence
- Chi Square Homogeneity Test
- Chi Square Goodness of Fit
1.
For Males :
n1 = 874, x1 = 396
p̂1 = x1/n1 = 0.4531
For Females :
n2 = 902, x2 = 489
p̂2 = x2/n2 = 0.5421
Point estimate of the difference in the population proportion, p̂1 - p̂2 = 0.4531 - 0.5421 = -0.089
Answer C.
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2.
(a.) A sales manager wants to know if the total count of commissions received by the company's sales team depends on sales methods (Memorized, Formula, Need-Satisfaction, and Problem-Solution) and business quarter (Q1, Q2, Q3, or Q4). The sales manager wants to know if these two factors are independent of each other.
- Chi Square Test of Independence
(b.) A sales manager wants to estimate the number of commissions received throughout the year (quarter by quarter). He has historic predictions in the form of percent, and then he collects the actual counts of the each quarter.
- Chi Square Goodness of Fit
(c.) A sales manager wants to know the general satisfaction of Long-Term and Short-Term clients regarding their experience with the companies sales representatives. The results to the survey were either "Satisfied", "Somewhat Satisfied", and "Unsatisfied".
- Chi Square Homogeneity Test