Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
5th Edition
ISBN: 9780133892697
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 8.3, Problem 18BSC
Testing Claims About Proportions. In Exercises 9-32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the
18. Perception and Reality In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won (based on data from ICR Survey Research Croup). Use a 0.10 significance level to test the claim that among all raters, the percentage who believe that they voted for the winning candidate is equal to 43%, which is the actual percentage of votes for the winning candidate. What does the result suggest about rater perceptions?
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Compute the relative risk of falling for the two groups (did not stop walking vs. did stop). State/interpret your result verbally.
Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
Chapter 8 Solutions
Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
Ch. 8.2 - MMs and Aspirin A package label includes a claim...Ch. 8.2 - Estimates and Hypothesis Tests Data Set 20 in...Ch. 8.2 - Mean Body Temperature A formal hypothesis test is...Ch. 8.2 - Interpreting P-value The Ericsson method is one of...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...
Ch. 8.2 - Prob. 11BSCCh. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...Ch. 8.2 - Prob. 13BSCCh. 8.2 - Finding Test Statistics. In Exercises 13-16 find A...Ch. 8.2 - Prob. 15BSCCh. 8.2 - Finding Test Statistics. In Exercises 13-16 find A...Ch. 8.2 - Prob. 17BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 19BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 21BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 24BSCCh. 8.2 - Prob. 25BSCCh. 8.2 - Stating Conclusions. In Exercises 25-28, assume a...Ch. 8.2 - Prob. 27BSCCh. 8.2 - Stating Conclusions. In Exercises 25-28, assume a...Ch. 8.2 - Prob. 29BSCCh. 8.2 - Terminology. In Exercises 29 and 30, use the given...Ch. 8.2 - Prob. 31BSCCh. 8.2 - Type I and Type II Errors. In Exercises 31-34,...Ch. 8.2 - Type I and Type II Errors. In Exercises 31-34,...Ch. 8.2 - Prob. 34BSCCh. 8.2 - Interpreting Power Chantix tablets are used as an...Ch. 8.2 - Calculating Power Consider a hypothesis test of...Ch. 8.2 - Finding Sample Size to Achieve Power Researchers...Ch. 8.3 - Prob. 1BSCCh. 8.3 - Prob. 2BSCCh. 8.3 - Prob. 3BSCCh. 8.3 - Prob. 4BSCCh. 8.3 - Using Technology. In Exercises 5-8, identify the...Ch. 8.3 - Prob. 6BSCCh. 8.3 - Prob. 7BSCCh. 8.3 - Prob. 8BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 10BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 13BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 29BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 33BSCCh. 8.3 - Large Data Sets. In Exercises 33 and 34, use the...Ch. 8.3 - Prob. 35BBCh. 8.3 - Using Confidence Intervals to Test Hypotheses When...Ch. 8.3 - Prob. 37BBCh. 8.4 - Video Games: Checking Requirements Twelve...Ch. 8.4 - df If we are using the sample data from Exercise 1...Ch. 8.4 - Prob. 3BSCCh. 8.4 - Prob. 4BSCCh. 8.4 - Prob. 5BSCCh. 8.4 - Prob. 6BSCCh. 8.4 - Finding P-values. In Exercises 5-8, either use...Ch. 8.4 - Finding P-values. In Exercises 5-8, either use...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 10BSCCh. 8.4 - Prob. 11BSCCh. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 14BSCCh. 8.4 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 17BSCCh. 8.4 - Prob. 18BSCCh. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Large Data Sets from Appendix B. In Exercise...Ch. 8.4 - Large Data Sets from Appendix B. In Exercise...Ch. 8.4 - Prob. 27BSCCh. 8.4 - Prob. 28BSCCh. 8.4 - Prob. 29BBCh. 8.4 - Prob. 30BBCh. 8.4 - Hypothesis Tests with Known . In Exercises 29-32,...Ch. 8.4 - Hypothesis Tests with Known . In Exercises 29-32,...Ch. 8.4 - Prob. 33BBCh. 8.4 - Prob. 34BBCh. 8.4 - Interpreting Power For Example 1 in this section,...Ch. 8.5 - Requirements If we want to use the sample data...Ch. 8.5 - Confidence Interval Method of Hypothesis Testing...Ch. 8.5 - Hypothesis Test For the sample data from Exercise...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 8BSCCh. 8.5 - Prob. 9BSCCh. 8.5 - Prob. 10BSCCh. 8.5 - Prob. 11BSCCh. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 13BSCCh. 8.5 - Prob. 14BSCCh. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 17BSCCh. 8.5 - Prob. 18BSCCh. 8.5 - Prob. 19BBCh. 8.5 - Prob. 20BBCh. 8 - Wristwatch Accuracy Students of the author...Ch. 8 - Wristwatch Accuracy Students of the author...Ch. 8 - Prob. 3CQQCh. 8 - Normality For the hypothesis test in Exercise 1,...Ch. 8 - Prob. 5CQQCh. 8 - P-Value Kind the P-value in a test of the claim...Ch. 8 - Prob. 7CQQCh. 8 - Prob. 8CQQCh. 8 - Conclusions True or false: In hypothesis testing,...Ch. 8 - Prob. 10CQQCh. 8 - Prob. 1RECh. 8 - Leisure Time In a Gallup poll, 1010 adults were...Ch. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Monitoring Lead in Air Listed below are measured...Ch. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Dictionary Words A simple random sample of pages...Ch. 8 - Prob. 2CRECh. 8 - Prob. 3CRECh. 8 - Hypothesis Test for Dictionary Words Refer to the...Ch. 8 - Prob. 5CRECh. 8 - Prob. 6CRECh. 8 - Prob. 7CRECh. 8 - Prob. 8CRECh. 8 - Prob. 9CRECh. 8 - Prob. 10CRE
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- 4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether there is an association between the behavior of the elderly person (did not stop to talk, did stop to talk) and their likelihood of falling. Below, please state your null and alternative hypotheses, calculate your expected values and write them in the table, compute the test statistic, test the null by comparing your test statistic to the critical value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and provide your conclusions in written form. Make sure to show your work. Did not stop walking to talk Stopped walking to talk Suffered a fall 12 11 Totals 23 Did not suffer a fall | 2 Totals 35 37 14 46 60 Tarrow_forwardQuestion 2 Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples of five parts each are collected, and the compressive strengths (in psi) are shown in Table 2. Table 2: Strength Data for Question 2 Sample Number x1 x2 23 x4 x5 R 1 83.0 2 88.6 78.3 78.8 3 85.7 75.8 84.3 81.2 78.7 75.7 77.0 71.0 84.2 81.0 79.1 7.3 80.2 17.6 75.2 80.4 10.4 4 80.8 74.4 82.5 74.1 75.7 77.5 8.4 5 83.4 78.4 82.6 78.2 78.9 80.3 5.2 File Preview 6 75.3 79.9 87.3 89.7 81.8 82.8 14.5 7 74.5 78.0 80.8 73.4 79.7 77.3 7.4 8 79.2 84.4 81.5 86.0 74.5 81.1 11.4 9 80.5 86.2 76.2 64.1 80.2 81.4 9.9 10 75.7 75.2 71.1 82.1 74.3 75.7 10.9 11 80.0 81.5 78.4 73.8 78.1 78.4 7.7 12 80.6 81.8 79.3 73.8 81.7 79.4 8.0 13 82.7 81.3 79.1 82.0 79.5 80.9 3.6 14 79.2 74.9 78.6 77.7 75.3 77.1 4.3 15 85.5 82.1 82.8 73.4 71.7 79.1 13.8 16 78.8 79.6 80.2 79.1 80.8 79.7 2.0 17 82.1 78.2 18 84.5 76.9 75.5 83.5 81.2 19 79.0 77.8 20 84.5 73.1 78.2 82.1 79.2 81.1 7.6 81.2 84.4 81.6 80.8…arrow_forwardName: Lab Time: Quiz 7 & 8 (Take Home) - due Wednesday, Feb. 26 Contingency Analysis (Ch. 9) In lab 5, part 3, you will create a mosaic plot and conducted a chi-square contingency test to evaluate whether elderly patients who did not stop walking to talk (vs. those who did stop) were more likely to suffer a fall in the next six months. I have tabulated the data below. Answer the questions below. Please show your calculations on this or a separate sheet. Did not stop walking to talk Stopped walking to talk Totals Suffered a fall Did not suffer a fall Totals 12 11 23 2 35 37 14 14 46 60 Quiz 7: 1. (2 pts) Compute the odds of falling for each group. Compute the odds ratio for those who did not stop walking vs. those who did stop walking. Interpret your result verbally.arrow_forward
- Solve please and thank you!arrow_forward7. In a 2011 article, M. Radelet and G. Pierce reported a logistic prediction equation for the death penalty verdicts in North Carolina. Let Y denote whether a subject convicted of murder received the death penalty (1=yes), for the defendant's race h (h1, black; h = 2, white), victim's race i (i = 1, black; i = 2, white), and number of additional factors j (j = 0, 1, 2). For the model logit[P(Y = 1)] = a + ß₁₂ + By + B²², they reported = -5.26, D â BD = 0, BD = 0.17, BY = 0, BY = 0.91, B = 0, B = 2.02, B = 3.98. (a) Estimate the probability of receiving the death penalty for the group most likely to receive it. [4 pts] (b) If, instead, parameters used constraints 3D = BY = 35 = 0, report the esti- mates. [3 pts] h (c) If, instead, parameters used constraints Σ₁ = Σ₁ BY = Σ; B = 0, report the estimates. [3 pts] Hint the probabilities, odds and odds ratios do not change with constraints.arrow_forwardSolve please and thank you!arrow_forward
- Solve please and thank you!arrow_forwardQuestion 1:We want to evaluate the impact on the monetary economy for a company of two types of strategy (competitive strategy, cooperative strategy) adopted by buyers.Competitive strategy: strategy characterized by firm behavior aimed at obtaining concessions from the buyer.Cooperative strategy: a strategy based on a problem-solving negotiating attitude, with a high level of trust and cooperation.A random sample of 17 buyers took part in a negotiation experiment in which 9 buyers adopted the competitive strategy, and the other 8 the cooperative strategy. The savings obtained for each group of buyers are presented in the pdf that i sent: For this problem, we assume that the samples are random and come from two normal populations of unknown but equal variances.According to the theory, the average saving of buyers adopting a competitive strategy will be lower than that of buyers adopting a cooperative strategy.a) Specify the population identifications and the hypotheses H0 and H1…arrow_forwardYou assume that the annual incomes for certain workers are normal with a mean of $28,500 and a standard deviation of $2,400. What’s the chance that a randomly selected employee makes more than $30,000?What’s the chance that 36 randomly selected employees make more than $30,000, on average?arrow_forward
- What’s the chance that a fair coin comes up heads more than 60 times when you toss it 100 times?arrow_forwardSuppose that you have a normal population of quiz scores with mean 40 and standard deviation 10. Select a random sample of 40. What’s the chance that the mean of the quiz scores won’t exceed 45?Select one individual from the population. What’s the chance that his/her quiz score won’t exceed 45?arrow_forwardSuppose that you take a sample of 100 from a population that contains 45 percent Democrats. What sample size condition do you need to check here (if any)?What’s the standard error of ^P?Compare the standard errors of ^p n=100 for ,n=1000 , n=10,000, and comment.arrow_forward
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