Connect hosted by ALEKS for Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781260041774
Author: Allan Bluman
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 8, Problem 8.4.14RE
For Exercises 1 through 20, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
14. Men Aged 65 and Over in the Labor Force Of men aged 65 and over 20.5% are still in the U.S. labor force. A random sample of 120 retired male teachers indicated that 38 were still working. Use both a confidence interval and a hypothesis test. Test the claim that the proportion is greater than 20.5% at α = 0.10.
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Determine the first step of hypothesis testing, and explain the procedure and logic of this step. Choose the correct answer below.
A.
The first step is to determine the level of significance at which to conduct the hypothesis test. The conventional levels of significance used are 5% and 1%, which are described as the 0.05 significance level and the 0.01 significance level, respectively. When a sample score is so extreme that researchers reject the null hypothesis, the result is said to be statistically significant.
B.
The first step is to restate the question as a research hypothesis and a null hypothesis about the populations. Since researchers are interested in the results in terms of the population, it is useful to restate the research question in terms of populations. The research hypothesis represents the research question being asked.
C.
The first step is to determine the characteristics of the comparison distribution. The overall logic of hypothesis…
Please answer number 3 from a-e. Thanks!
Please answer number 4, a-e. Thanks
Chapter 8 Solutions
Connect hosted by ALEKS for Elementary Statistics: A Step By Step Approach
Ch. 8.1 - Applying the Concepts 81 Eggs and Your Health The...Ch. 8.1 - Define null and alternative hypotheses, and give...Ch. 8.1 - What is meant by a type I error? A type II error?...Ch. 8.1 - What is meant by a statistical test?Ch. 8.1 - Explain the difference between a one-tailed and a...Ch. 8.1 - What is meant by the critical region? The...Ch. 8.1 - What symbols are used to represent the null...Ch. 8.1 - What symbols are used to represent the...Ch. 8.1 - Explain what is meant by a significant difference.Ch. 8.1 - When should a one-tailed test be used? A...
Ch. 8.1 - In hypothesis testing, why cant the hypothesis be...Ch. 8.1 - Using the z table (Table E), find the critical...Ch. 8.1 - Using the z table (Table E), find the critical...Ch. 8.1 - For each conjecture, state the null and...Ch. 8.1 - For each conjecture, state the null and...Ch. 8.2 - Car Thefts You recently received a job with a...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Reject or Not State whether the null hypothesis...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Transmission Service A car dealer recommends that...Ch. 8.2 - Speeding Tickets A motorist claims that the South...Ch. 8.2 - Sick Days A manager states that in his factory,...Ch. 8.2 - Significance Levels Suppose a statistician chose...Ch. 8.2 - Hourly Wage The president of a company states that...Ch. 8.3 - How Much Nicotine Is in Those Cigarettes? 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For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - Prob. 8.4.12RECh. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 1 through 20, perform each of the...Ch. 8 - For Exercises 5 through 20, assume that the...Ch. 8 - For Exercises 5 through 20, assume that the...Ch. 8 - For Exercises 5 through 20, assume that the...Ch. 8 - For Exercises 5 through 20, assume that the...Ch. 8 - Plant Leaf Lengths A biologist knows that the...Ch. 8 - Tire Inflation To see whether people are keeping...Ch. 8 - The Data Bank is found in Appendix B, or on the...Ch. 8 - Select a random sample of 15 individuals and test...Ch. 8 - Select a random sample of at least 30 individuals,...Ch. 8 - Select a sample of 20 individuals and test the...Ch. 8 - Using the data from Data Set XIII, select a sample...Ch. 8 - Using the data obtained in Exercise 5, test the...Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - Determine whether each statement is true or false....Ch. 8 - When the value of is increased, the probability...Ch. 8 - If you wish to test the claim that the mean of the...Ch. 8 - The degrees of freedom for the chi-square test for...Ch. 8 - For the t test, one uses _______ instead of . a. n...Ch. 8 - Complete the following statements with the best...Ch. 8 - Complete the following statements with the best...Ch. 8 - A conjecture about a population parameter is...Ch. 8 - 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- Describe the type I error and the type II error for a hypothesis tests of the given claim. The proportion of settled medical malpractice suits is 0.22. Which of the following is a type I error? A. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22. O B. Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22. C. Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22. O D. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22. Which of the following is a type II error? O A. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22. O B. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22. O C.…arrow_forwardWhat are the correct answers?arrow_forwardUse the traditional method in testing the hypothesis in the problems below. In each problem, state the following:a. State the hypotheses and identify the claim.b. Find the critical value(s)c. Find the test value The manager of the cosmetics section of a large department store wants to determine whether newspaper advertising really does affect sales. For her experiment, she randomly selects 15 items currently in stock and proceeds to establish a baseline. The 15 items are priced at their usual competitive values, and the quantity of each item sold for a 1-week period is recorded. Then, without changing their price, she places a large ad in the newspaper, advertising the 15 items. Again, she records the quantity sold for a 1-week period. The results follow. Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15No. of Items Sold Before Ad 25 18 3 42 16 20 23 32 60 40 27 7 13 23 16No. of Items Sold After Ad 32 24 7 40 19 25 23 35 60 43 28 11 12 32 28arrow_forward
- The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z =-1.90, what is the correct statistical decision? Question options: a. Reject H1 b. Fail to reject H1 c. Fail to reject H0 d. Reject H0arrow_forward1. Explain the concept of a hypothesis test, and why it is used in research and science. 2. Conduct a hypothesis test, by executing the following steps: a. Identifying the correct type of test. b. Creating the two hypotheses. c. Organizing the information from the problem. d. Calculating any missing statistics. e. Finding the P-value on your calculator. f. Making the decision of the test. g. Writing a sentence which embodies your decision. 3. Differentiate between a 1-sided and 2-sided test. 4. Differentiate between a 1-proportion z-test and 2-proportion z-test.arrow_forward5. A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group gets regular quizzes, one group gets three large exams, and the third group only gets a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student's overall knowledge of the material. a. Use a= .05. Conduct the Four Steps for Hypothesis Testing. Then, complete the table below with all the required calculations. b. Are the data sufficient to conclude that thier is a significant difference among the three methods? Write your answer in the form of a sentence. c. Conduct a Tukey's HSD to determine if there is a sigificant difference between any of the 3 groups. Source Between Treatments S df MS Within Treatments Total TTT Quizzes Exams Final Only 4 1 G-36, ΣΧ -164 4 2 3 5 7 2 2 T=20 T=12 T=4 SS=10 SS=10 SS=4arrow_forward
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