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iPad 4:42 70%- mathxl.com Course: ECON1203-Business & Economic Statistics Take a

ID: 3068452 • Letter: I

Question

iPad 4:42 70%- mathxl.com Course: ECON1203-Business & Economic Statistics Take a Test-Xuechun Zhang Take a Test-Xuechun Zhang ECON1203-Business & Economic Statistics S2/2018 Xuechun Zhang 1 9/5/18 4:42 PM Quiz: Week 7 Fortnightly Quiz Time Remaining: 00:57:51 Submit Quiz This Question: 1 pt 8 of 10 (0 complete) This Quiz: 10 pts possible A survey of 150 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 60 of the 150 students responded yes." An approximate 95% confidence interval is (0.320 0.480) which of the following are true? tf they are not true, briefly explain why not a) 95% of the students fall in the interval (0.320,0.480). b) The true proportion of students who use laptops to take notes is captured in the interval (0.320,0.480) with probability 0.95 c) There is a 40% chance that a student uses a laptop to take notes. d) There is a 95% chance that the student uses a laptop to take notes 40% of the time. e) We are 95% confident that the true proportion of students who use laptops to take notes is captured in the interval (0.320-0.480). O A. The statement is false. The sample size is too small to make this claim. O B. The statement is true. ° C. The statement is false. 40% of the students fall in the interval (0320.0480). 0 D. The statement is false. This doesn't make sense because students are not proportions. b) Choose the correct answer below. 0 A. O B. ° C. 0 D. The statement is false. The population proportion is either within the interval or not within the interval. The statement is false. We are 40% confident that the sample proportion of students who use a laptop to take notes is between 32.0% and 48.0%. The statement is true. The statement is false. The sample size is too small to make this claim. Click to select your answer.

Explanation / Answer

a. Option D is correct.

The statement is false. This doesn't make sense because students are not the proportions.

Because the confidence interval is for the proportion of students who responded yes to the question.

b. Option A is correct.

The statement is false. The population proportion is either within the interval or not within the interval.

c. Option D is correct.

The statement is false. There is not enough information to make an absolute statement about the population value with precision.

d. Option A is correct.

The statement is false. This doesn't make sense because it's not about the proportion of time that a student uses a laptop.

e. Option D is correct.

The statement is true.

Because the 95% is the confidence, not the probability.