Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Textbook Question
Chapter 8.2, Problem 15E
Reject or Not State whether the null hypothesis should be rejected on the basis of the given P-value.
a. P-value = 0.258, α = 0.05, one-tailed test
b. P-value = 0.0684, α = 0.10, two-tailed test
c. P-value = 0.0153, α = 0.01, one-tailed test
d. P-value = 0.0232, α = 0.05, two-tailed test
e. P-value = 0.002, α = 0.01, one-tailed test
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Check out a sample textbook solutionStudents have asked these similar questions
Match each of the hypothesis test conclusions below to the corresponding p-value.
There is not enough evidence to reject the null hypothesis at any reasonable significance level.
The evidence against the null and in favor of the alternative hypothesis is extremely strong.
The evidence against the null hypothesis is statistically significant at the 10% level, but not at the 5% level.
The result is statistically significant at the 5% level but not at the 1% level.
I.
p-value = .0003
II.
p-value = .317
III.
p-value = .089
IV.
p-value = .039
A researcher conducts a two-sample t-test in order to test the following hypotheses: H0 :µa = µB vs. H1: µA > µB. She finds that the p-value is .075. Her colleague wishes to conduct the same hypothesis test, but will change his alternative hypothesis to µA=/=µB and will use α = .10. What can be said about the results of his test?
(a) He will fail to reject the null hypothesis.
(b) He will reject the null hypothesis.
(c) Whether he rejects the null hypothesis depends on the brand of statistical software he uses.
(d) There is not enough information provided to determine the results of his test.
In a given hypothesis test, the null hypothesis cannot be rejected at the 0.005 and the 0.01 level of significance, but can be rejected at the 0.03 level. The most accurate statement about the p−value for this test is: A. p-value<0.005B. 0.005<p-value<0.03C. 0.01<p-value<0.03D. p-value>0.03E. p-value=0.01F. 0.005<p-value<0.01
Chapter 8 Solutions
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 - Prob. 11ECh. 8.1 - Using the z table (Table E), find the critical...Ch. 8.1 - Prob. 13ECh. 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 - Prob. 2ECh. 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 - Prob. 5ECh. 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 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - For Exercises 1 through 25, perform each of the...Ch. 8.2 - Prob. 13ECh. 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 - Prob. 19ECh. 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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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 - Complete the following statements with the best...Ch. 8 - Complete the following statements with the best...Ch. 8 - For the following exercises where applicable: a....Ch. 8 - For Exercises 1 through 25, perform each of the...Ch. 8 - For Exercises 1 through 25, perform each of the...Ch. 8 - Prob. 18CQCh. 8 - Prob. 19CQCh. 8 - For Exercises 1 through 25, perform each of the...Ch. 8 - Prob. 21CQCh. 8 - Prob. 22CQCh. 8 - 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