Statistical Reasoning for Everyday Life (5th Edition)

5th Edition

ISBN: 9780134494043

Author: Jeff Bennett, William L. Briggs, Mario F. Triola

Publisher: PEARSON

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Textbook Question

Chapter 9.2, Problem 17E

Using Critical Values to Reject or Not Reject. In Exercises 13–20, find the value of the standard score, z, and determine whether to reject the null hypothesis at a 0.05 significance level. The critical values can be found in Tables 9.1 and 9.2. Is the alternative hypothesis supported?

17. H₀: μ = 18.4 meters, H_a: μ ≠ 18.4 meters, n = 81, x ¯ = 17.9 meters , σ = 1.2 meters

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Chapter 9.2, Problem 16E

Chapter 9.2, Problem 18E

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Technology. In Exercises 9–12, test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Old Faithful Data Set 23 “Old Faithful” in Appendix B includes data from 250 random eruptions of the Old Faithful geyser. The National Park Service makes predictions of times to the next eruption, and the data set includes the errors (minutes) in those predictions. The accompanying Statdisk display results from using the prediction errors (minutes) to test the claim that the mean prediction error is equal to zero. Comment on the accuracy of the predictions. For Exercise 11

Chapter 9 Solutions

Statistical Reasoning for Everyday Life (5th Edition)

Ch. 9.1 - Hypotheses and Hypothesis Tests. What is a...Ch. 9.1 - Null and Alternative Hypotheses. What is a mill...Ch. 9.1 - Hypothesis Test Outcomes. What are the two...Ch. 9.1 - P-Value. What is a P-value for a hypothesis?Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Significance. The results of my hypothesis test...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...Ch. 9.1 - Does It Make Sense? For Exercises 512, determine...

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Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?

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Solution Summary: The author determines whether to reject the null hypothesis at a 0.05 significance level and checks whether the alternative hypothesis is supported.

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Chapter 9 Solutions