number 1., 2-4 based on the written paragraph, 5 & 6

1. A simple random sample of 200 students is selected from a large university. In the I sample, there are 35 minority students. A simple random sample of 80 students is 2 selected from the community college in the same town. In the sample, there are 28 minority students. What is the standard error of the difference in sample proportions of minority students? A) 0.004 Bi 1.03 Use the following to answer questions 2-4: A simple random sample of 60 households in the city of Greenville (call this city 1) is taken. In the sample, there are 45 households that decorate their houses with lights for the holidays. A simple random sample of 50 households is also taken from the neighboring town of Brownsboro (call this city 2). In the sample, there are 40 households that decorate their houses. We wish to estimate the difference in proportions of households that decorate their houses with lights for the holidays with a 95% confidence interval. 2. What is the standard error of the difference in sample proportions? 1 0.040 0.0802 Bi 0.0795 Di 0.1125 3. Under the null hypothesis of equality of the proportions of households that decorate their I houses in the two neighboring towns. what is the standard error of the difference in 4 sample proportions! A 0.040 0.0802 BI 0.0795 0,1135 4. What is a 95%% confidence interval for the difference in population proportions of I households that decorate their houses with lights for the holidays? S A) (-0.181, 0.081) (-0.231, 0.138) Bi (-0.206, 0.105) (-0.255. 0.155) 5. A simple random sample of 100 bags of tortilla chips produced at plant A is selected every hour for quality control. In the current sample, 18 bags had more chips (measured in weight) than the labeled quantity. This sample information is being compared to data collected at plant B. In the current sample of 100 bags of chips from plant B, 12 bags had more chips than the labeled quantity. What is the relative risk that a bag of tortilla chips produced at plant A had more chips than the labeled quantity as compared to plant B? A) RR - 0.15 CJ RR - 1.462 B) RR - 0.667 DJ RR - 1.5 6. A simple random sample of 100 of a certain popular model car in 2008 found that 20 had I a certain minor defect in the brakes. A simple random sample of 400 of this model car B in 2004 found that 50 had the minor defect in the brakes. Letp, andp, be the proportion of all cars of this model in 2003 and 2004, respectively. that actually have the defect. What is a 90% confidence interval for p, - g,? A) 0.075 1 0.071 B) 0.075 + 0.085 C) 0.075 + 0.112 0.079 + 0.071