Elementary Statistics (13th Edition)
Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 9.1, Problem 25BB

Overlap of Confidence Intervals In the article “On Judging the Significance of Differences by Examining the Overlap Between Confidence Intervals,” by Schenker and Gentleman (American Statistician, Vol. 55, No. 3), the authors consider sample data in this statement: “Independent simple random samples, each of size 200, have been drawn, and 112 people in the first sample have the attribute, whereas 88 people in the second sample have the attribute.”

a. Use the methods of this section to construct a 95% confidence interval estimate of the difference p1p2. What does the result suggest about the equality of p1, and p2?

b. Use the methods of Section 7-1 to construct individual 95% confidence interval estimates for each of the two population proportions. After comparing the overlap between the two confidence intervals, what do you conclude about the equality of p1 and p2?

c. Use a 0.05 significance level to test the claim that the two population proportions are equal. What do you conclude?

d. Based on the preceding results, what should you conclude about the equality of p1 and p2? Which of the three preceding methods is least effective in testing for the equality of p1 and p2?

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Chapter 9 Solutions

Elementary Statistics (13th Edition)

Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Prob. 16BSCCh. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Prob. 23BBCh. 9.1 - Yawning and Fishers Exact Test In one segment of...Ch. 9.1 - Overlap of Confidence Intervals In the article On...Ch. 9.1 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Independent and Dependent Samples Which of the...Ch. 9.2 - Confidence Interval for Hemoglobin Large samples...Ch. 9.2 - Hypothesis Tests and Confidence Intervals for...Ch. 9.2 - Degrees of Freedom For Example 1 on page 431, we...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Larger Data Sets. In Exercises 2124, use the...Ch. 9.2 - Pooling Repeat Exercise 12 IQ and Lead by assuming...Ch. 9.2 - Degrees of Freedom In Exercise 20 Blanking Out on...Ch. 9.2 - No Variation in a Sample An experiment was...Ch. 9.3 - True? For the methods of this section, which of...Ch. 9.3 - Notation Listed below are body temperatures from...Ch. 9.3 - Units of Measure If the values listed in Exercise...Ch. 9.3 - Degrees of Freedom If we use the sample data in...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - Prob. 11BSCCh. 9.3 - Prob. 12BSCCh. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - Prob. 17BSCCh. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Larger Data Sets. In Exercises 1724, use the...Ch. 9.3 - Prob. 23BSCCh. 9.3 - Prob. 24BSCCh. 9.3 - Body Temperatures Refer to Data Set 3 Body...Ch. 9.4 - F Test Statistic a. If s12 represents the larger...Ch. 9.4 - F Test if using the sample data in Data Set 1 Body...Ch. 9.4 - Testing Normality For the hypothesis test...Ch. 9.4 - Prob. 4BSCCh. 9.4 - In Exercises 516, test the given claim. 5. Color...Ch. 9.4 - In Exercises 516, test the given claim. 6. Color...Ch. 9.4 - In Exercises 516, test the given claim. 7. Testing...Ch. 9.4 - In Exercises 516, test the given claim. 8....Ch. 9.4 - In Exercises 516, test the given claim. 9. Coke...Ch. 9.4 - In Exercises 516, test the given claim. 10. IQ and...Ch. 9.4 - Prob. 11BSCCh. 9.4 - Prob. 12BSCCh. 9.4 - Prob. 13BSCCh. 9.4 - Prob. 14BSCCh. 9.4 - In Exercises 516, test the given claim. 15. Old...Ch. 9.4 - In Exercises 516, test the given claim. 16....Ch. 9.4 - Prob. 17BBCh. 9.4 - Prob. 18BBCh. 9.4 - Finding Lower Critical F Values For hypothesis...Ch. 9 - In Exercises 15, use the following survey results:...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 7-5, use the following survey...Ch. 9 - True? Determine whether the following statement is...Ch. 9 - True? When we collect random samples to test the...Ch. 9 - Dependent or Independent? Listed below are...Ch. 9 - Hypotheses Identify the null and alternative...Ch. 9 - Test Statistics Identify the test statistic that...Ch. 9 - Denomination Effect In the article The...Ch. 9 - Denomination Effect Construct the confidence...Ch. 9 - Heights Listed below are heights (cm) randomly...Ch. 9 - Heights Use a 0.01 significance level with the...Ch. 9 - Before /After Treatment Results Captopril is a...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Variation of Heights Use the sample data given in...Ch. 9 - Family Heights. In Exercises 15, use the following...Ch. 9 - Scatterplot Construct a scatterplot of the...Ch. 9 - Family Heights. In Exercises 1-5, use the...Ch. 9 - Family Heights. In Exercises 1-5, use the...Ch. 9 - Assessing Normality Interpret the normal quantile...Ch. 9 - Braking Reaction Times: Histogram Listed below are...Ch. 9 - Braking Reaction Times: Normal? The accompanying...Ch. 9 - Braking Reaction Times: Boxplots Use the same data...Ch. 9 - In Exercises 5-20, assume that the two samples are...Ch. 9 - Braking Reaction Times: Confidence Intervals a....Ch. 9 - FROM DATA TO DECISION Critical Thinking: Did the...Ch. 9 - Critical Thinking: Did the NFL Rule Change Have...Ch. 9 - Critical Thinking: Did the NFL Rule Change Have...
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