stats test 4 - CHAPTER 11COMPARISONS INVOLVING PROPORTIONS...

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CHAPTER 11—COMPARISONS INVOLVING PROPORTIONS AND A TEST OF INDEPENDENCE MULTIPLE CHOICE 1. When developing an interval estimate for the difference between two population proportions, with sample sizes of n 1 and n 2 , a. n 1 must be equal to n 2 b. n 1 must be smaller than n 2 c. n 1 must be larger than n 2 d. n 1 and n 2 can be of different sizes, ANS: D PTS: 1 TOP: Interval Estimation 2. If we are interested in testing whether the proportion of items in population 1 is significantly less than the proportion of items in population 2, the a. null hypothesis should state P 1 - P 2 > 0 b. null hypothesis should state P 1 - P 2 < 0 c. alternative hypothesis should state P 1 - P 2 > 0 d. alternative hypothesis should state P 1 - P 2 < 0 ANS: D PTS: 1 TOP: Interval Estimation 3. If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the a. null hypothesis should state P 1 - P 2 > 0 b. null hypothesis should state P 1 - P 2 0 c. alternative hypothesis should state P 1 - P 2 > 0 d. alternative hypothesis should state P 1 - P 2 < 0 ANS: C PTS: 1 TOP: Hypothesis Testing 4. Assume we are interested in determining whether the proportion of voters planning to vote for candidate C (P C ) is significantly less than the proportion of voters planning to vote for candidate B (P B ). The correct null hypothesis for testing the above is a. Ho: P C - P B 0 b. Ho: P C - P B < 0 c. Ho: P C - P B 0 d. Ho: P C - P B 0 ANS: D PTS: 1 TOP: Hypothesis Testing 5. Assume we are interested in determining whether the proportion of voters planning to vote for candidate C (P C ) is significantly more than the proportion of voters planning to vote for candidate B (P B ). The correct alternative hypothesis for testing the above is
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a. Ha: P C - P B 0 b. Ha: P C - P B > 0 c. Ha: P C - P B < 0 d. Ha: P C - P B 0 ANS: B PTS: 1 TOP: Hypothesis Testing 6. The sampling distribution of 1 - 2 is approximated by a a. normal distribution b. t-distribution with n 1 + n 2 degrees of freedom c. t-distribution with n 1 + n 2 - 1 degrees of freedom d. t-distribution with n 1 + n 2 + 2 degrees of freedom ANS: A PTS: 1 TOP: Sampling Distribution 7. If a hypothesis is rejected at 95% confidence, a. it must also be rejected at the 99% confidence b. it must also be rejected at the 90% confidence c. it will sometimes be rejected and sometimes not be rejected at the 90% confidence d. Not enough information is given to answer this question. ANS: B PTS: 1 TOP: Hypothesis Testing 8. If the p-value is less than α , a. the alternative hypothesis is rejected b. the null hypothesis is rejected c. the null hypothesis will sometimes be rejected and sometimes not be rejected depending on the sample size d. Not enough information is given to answer this question. ANS: B
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This note was uploaded on 12/06/2010 for the course MATH MATH 112 taught by Professor Alwes,c during the Spring '10 term at Hartford.

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stats test 4 - CHAPTER 11COMPARISONS INVOLVING PROPORTIONS...

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