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2e !” g j S E Q Introductory Statistics Third Edition Pe rd i sco Assessment Below is a set of assessable homework questions on this topic, selected by your professor. Ta ke care! Do not
submit your answers until you have read all the instructions and answered the questions carefully. When you
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Bookmark: Save this question set so that you can come back to it later A friend tells you that she has conducted a survey to find the proportion of people in her university that utilize the campus internet cafe at least once a day. She has
collected a sample and calculated a sample proportion of p : 0.68. She uses this value to calculate a confidence interval for the population proportion. Your friend says
that she is not going to tell you the sample size or the level of confidence used in her construction, but she does tell you that the lower bound for the interval is 0.53. From the following list, select the values that, based on the information given, could possibly be the upper bound of the confidence interval your friend calculated: Cl 0.78
Cl 0.68
Cl 0.83
Cl 0.73
Cl 0.88 A survey was run by a high school student in order to determine what proportion of mortgageeholders in his town expect to own their house within 10 years. He
surveyed 174 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.68. The student decides to construct a 95% confidence interval for the population proportion. You may find this standard normal table useful for the following questions. a) Calculate the margin of error that the high school student will have. Give your answer as a decimal to 3 decimal places. Margin of error : A different high school student sees this survey and decides to try and repeat it. This second high school student also surveys 174 mortgage holders, and this student
also finds that the proportion of these that do expect to own their house within 10 years is 0.68. However, this student wants to construct a 99% confidence interval for
the population proportion. I7) Calculate the margin of error that the second student will have. Give your answer as a decimal to 3 decimal places. Margin of error = You have been given the task of finding out what proportion of students that enroll in a local university actually complete their degree. You have access to first year
enrolment records and you decide to randomly sample 113 of those records. You find that 82 of those sampled went on to complete their degree. a) Calculate the proportion of sampled students that complete their degree. Give your answer as a decimal to 2 decimal places. Sample proportion : You decide to construct a 95% confidence interval for the proportion of all enrolling students at the university that complete their degree. You may find this standard
normal table useful for the following questions. If you use your answer to part a) in the following calculations, use the rounded version. I1) Calculate the lower bound for the confidence interval. Give your answer as a decimal to 3 decimal places. Lower bound for confidence interval = c) Calculate the upper bound for the confidence interval. Give your answer as a decimal to 3 decimal places. Upper bound for confidence interval : Femiscn/ [aim /, v.. to learn thamughiy © 2“” ”ms” amigo.
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