Midterm 2 practice

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

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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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