Reference no: EM132364463

Quizzes

Instructions: Please answer each of the following question to the best of your ability.

1. Which of the following is not an example of non-sampling error? (Circle one answer)

a) uncertainty: a state of having limited knowledge where it is impossible to exactly describe the existing state or a future outcome.

b) frame: a mismatch between the sampling frame and target population.

c) nonresponse: missing values are systematically related to the likelihood of response.

d) measurement error: when the survey instrument influences the likelihood of response.

e) specification: interpretation of a question differs from what the surveyor intended.

2. Suppose that you are in a seminar with 25 students (including yourself) and you are asked to vote on whether the final assessment will include an exam OR an essay. Assume that the probability that a student will prefer an exam is 0.35 and the probability of preferring an essay is 0.65. What is the probability of the event that exactly 15 students vote for the exam?

3. Which of the following options best represents the "frequentist" view of probability? (Circle one answer)

a) The limiting value of a relative frequency.

b) A number between 0 and 1 that measures the likelihood (or chance) of an outcome occurring.

c) The conditional probability of A given B is equal to the unconditional (or marginal probability) of A.

d) The sum of the probability of all outcomes in the sample space (S) must equal one.

e) The probability of an event (E) is equal to the sum of the n outcomes (e) associated with that event.

4. What value of "z" is used to construct a 99% confidence interval? (Please round to 2 decimal places.)
Z = ___________

5. Suppose that we are interested in studying the typical amount of money spent by Exeter students each week on coffee. We collect a random sample of 75 students and ask them for the amount that they spend. We find that the mean amount spent is 6.90 with a standard deviation of 3. Please construct the 95% confidence interval for the typical amount of money spent each week on coffee. What is the lower
and upper bound of this interval?

6. Assume that we are interested in studying support for a "stricter immigration policy" in the UK. We ask respondents to provide the ratings using a "feeling thermometer," with 0 (very much against) to 100 (very much support). Further assume that we want to test whether population mean is greater than 50.

We calculate the following sample statistics:

Mean = 53.15

Standard deviation = 19.5

n = 60

Use a p-value to test this hypothesis at the 5% error level. What is the p-value associated with this test?

Can we reject the null hypothesis at the 5% error level?