Midterm 2 practice

Midterm 2 practice - First 5 letters of your last name Last...

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First 5 letters of your last name Last 5 digits of your Student Number (SSN) Name: ________________________________________________ last first MI (Circle)Recitation Day and Time: R12:30 Instructions: You must use pencil to write your exam. Turn off all cell phones and pagers. You may not use cell phones or other PDA’s for any purpose during the exam. Leave the exam paper UNOPENED until you are instructed to begin. Neatly fill in the requested information above. Probability table(s) and formula pages will be distributed separate from the exam paper. Do not write on these. They must be returned with your exam paper. You may not leave the room for any reason before you submit your paper. You may not ask questions during the exam. Circle the best answer to each multiple-choice question. Answer all free-response questions neatly in the spaces provided. You must show all work necessary to answer all questions, including the multiple- choice questions , in order to receive full credit. Do not presume that anything is obvious or too simple to be written down. All questions are worth 3 points unless otherwise stated. You have until 12:15 to complete the exam. Budget your time accordingly. * The exam is valued at 125 points. Page Number Point Total 1 18 2 21 3 8 4 13 5 13 6 10 7 13 8 17 9 9 10 12 130 *
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1 1. In the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican. A researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election has changed. Let p represent the proportion of the population of all adults over the age of 65 in the city who plan to vote Republican in the next presidential election. In terms of p , the researcher should test which of the following null and alternative hypotheses? a. H 0 : p ≤ 0.47 vs. H a : p > 0.47 b. H 0 : p = 0.47 vs. H a : p ≠ 0.47 c. H 0 : p ≥ 0.47 vs. H a : p < 0.47 d. H 0 : p = 0.47 vs. H a : p = 0.47 ± 0.03, because 0.03 is the margin of error for most polls. 2. A 90% confidence interval estimate for the population proportion (based on the Normal distribution) is (.27, .32). The same 50 sample observations used to calculate this confidence interval are used to test the hypotheses H 0 : p = .30 H a : p ≠ .30. Which of the following is true? a. The P -value = .30. b. The P -value = 1. c. The P -value < 0.05. d. The P -value > 0.10 e. None of the above is true. 3. An SRS of size 100 is taken from a population having proportion 0.8 of successes. An independent SRS of size 400 is taken from a population having proportion 0.5 of successes. The sampling distribution for the difference in the sample proportions, 2 ˆ ˆ 1 p p , has mean a. 0.3. b. the smaller of 0.8 and 0.5. c. 0.15. d. Which cannot be determined without knowing the sample results. 4. In testing the null hypothesis: 0 : 2 1 0 p p H , if 0 H is actually true, the test could lead to: a. a Type I error b. a Type II error c. neither a Type I or a Type II error d. either a Type I nor a Type II error 5. In formulating hypotheses for a statistical test of significance, the null hypothesis is most often a. a statement of “no effect” or “no difference.” b. The probability of observing the data you actually obtained.
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This note was uploaded on 03/10/2012 for the course BUS MGT 330 taught by Professor Schroeder during the Spring '08 term at Ohio State.

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Midterm 2 practice - First 5 letters of your last name Last...

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