Stat 216 Midterm Exam Summer II 2018: Page 3 of 11 1. S uppose you want to deter

Question

Stat 216 Midterm Exam Summer II 2018: Page 3 of 11 1. S uppose you want to determine if a maiority of MSU students have any interest in the Bobcat and find that 78% of these student during the regular season. You then basketball's regular season. You take a random sample of 150 Stat 216 students ts keep up with how the Bobcat basketball team performs run an appropriate test of significance. (a) Using these data, to which population can we generalize? Select one. A. Your sample of 150 Stat 216 students. B. All Stat 216 students. C. All students at MSU that watched the NBA D. All students at MSU (b) Suppose the value for the standardized statistic was found to be 4.5. How would you correctly interpret this value? Select one. A. Assuming the null hypothesis is true, the probability you would get a sample proportion of 0.78 or more in a random sample of 150 Stat 216 students is 4.5 B. Your observed sample proportion of 0.78 is 4.5 standard deviations above the mearn of the null distribution C. Assuming the alternative hypothesis is true, the probability you would get a sample proportion of 0.78 or more in a random sample of 150 Stat 216 students is 4.5 D. On average, each sample proportion simulated assuming the null hypothesis is true is 4.5 away from the mean of the null distribution. (c) Suppose your friend Erin collected a much larger random sample of Stat 216 students, but still found that 78% of this larger sample had interest in the Bobcat basketball's regular season. How will the p-value using Erin's data compare to your p-value? Select one A. Since Erin had a larger sample size, Erin's p-value will be larger. B. Since Erin had a larger sample size, Erin's p-value will be smaller. C. Since Erin had the same sample proportion, Erin's p-value will be the same as yours. D. There is no way to tell how the p-values will compare (d) Suppose your friend David collected 150 random Stat 216 students as well, but found that 68% ofthis sample had interest in the Bobcat basketball's regular season. How will the p-value using David's data compare to your p-value? Select one. A. Since David had a smaller sample proportion, David's p-value will be larger. B. Since David had the same sample proportion, David's p-value will be the same as yours. C. There is no way to tell how these p-values will compare D. Since David had a smaller sample proportion, David's p-value will be smaller

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a.

D. All students at MSU. There is no other filter given to the sample set in the question

b.

B. The standardized score doesn't have a context of rejection of null hypothesis. Hence, A , C and D are wrong as they refer to null being true/false. The standardized score basically tells how many deviation is my statistic away from mean in null distribution.

c.

Increasing the sample size will tend to result in a smaller P-value. So, B is right since Erin'sample size is larger

d.

Lets see: Since .68 is less than .78 we will have a lower value of test statistic. A lower value of test statistic means a higher p-value. So, A is correct

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