Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9.4, Problem 13SE
Find the zcalc test statistic for each hypothesis test.
- a.
- b.
- c.
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Use the five steps in the hypothesis testing procedure for each answer.
1 ) A national publishing house claims that 45% of all weekly magazine readers in South Africa read their publication. Test this claim at the 5% significance level, if a survey found that 205 out of a random sample of 500 magazine readers said that they read the relevant publication.
Find the quantity (deviance) for testing the hypothesis H0 and the pvalue used
For each pair of hypotheses that follows, decide whether H₀ and H₁ are set up correctly as the null and alternative hypotheses for a hypothesis test. If so, select “Valid” from the drop down menu. If not, select “Invalid”.
1
H₀: M = 165
2
H₀: μ = 39
H₁: M ≠ 165
H₁: μ ≠ 39
3
H₀: μ = 344
4
H₀: µ = 79
H₁: μ ≠ 344
H₁: µ ≠ 86
You always evaluate the results of an experiment by assessing the .
Chapter 9 Solutions
Applied Statistics in Business and Economics
Ch. 9.2 - If you repealed a hypothesis test 1,000 times (in...Ch. 9.2 - Define Type I and Type II errors for each...Ch. 9.2 - A firm decides to test its employees for illegal...Ch. 9.2 - A hotel installs smoke detectors with adjustable...Ch. 9.2 - What is the consequence of a false negative in an...Ch. 9.2 - Prob. 6SECh. 9.3 - A manufacturer claims that its compact fluorescent...Ch. 9.3 - Prob. 8SECh. 9.3 - Prob. 9SECh. 9.3 - The average age of a part-time seasonal employee...
Ch. 9.3 - Prob. 11SECh. 9.3 - Prob. 12SECh. 9.4 - Find the zcalc test statistic for each hypothesis...Ch. 9.4 - Prob. 14SECh. 9.4 - Prob. 15SECh. 9.4 - Prob. 16SECh. 9.4 - Green Beam Ltd. claims that its compact...Ch. 9.4 - The mean potassium content of a popular sports...Ch. 9.4 - Calculate the test statistic and p-value for each...Ch. 9.4 - Determine the p-value for each test statistic. a....Ch. 9.4 - Procyon Mfg. produces tennis balls. Weights are...Ch. 9.4 - The mean arrival rate of flights at OHare Airport...Ch. 9.4 - Prob. 23SECh. 9.4 - The Scottsdale fire department aims to respond to...Ch. 9.4 - The lifespan of xenon metal halide arc-discharge...Ch. 9.4 - Discuss the issues of statistical significance and...Ch. 9.4 - The target activation force of the buttons on a...Ch. 9.5 - Find the tcalc test statistic for each hypothesis...Ch. 9.5 - Find the critical value of Students t for each...Ch. 9.5 - Find the critical value of Students t for each...Ch. 9.5 - Find the tcalc test statistic for each hypothesis...Ch. 9.5 - Estimate the p-value as a range using Appendix D...Ch. 9.5 - Prob. 33SECh. 9.5 - Prob. 34SECh. 9.5 - Prob. 35SECh. 9.5 - The manufacturer of an airport baggage scanning...Ch. 9.5 - Prob. 37SECh. 9.5 - The average weight of a package of rolled oats is...Ch. 9.5 - According to J.D. Power & Associates, the mean...Ch. 9.5 - Prob. 40SECh. 9.5 - Prob. 41SECh. 9.5 - Prob. 42SECh. 9.5 - Prob. 43SECh. 9.6 - Interpret each p-value in your own words: a....Ch. 9.6 - Prob. 45SECh. 9.6 - Prob. 46SECh. 9.6 - May normality of the sample proportion p be...Ch. 9.6 - Prob. 48SECh. 9.6 - In a hospitals shipment of 3,500 insulin syringes,...Ch. 9.6 - Prob. 50SECh. 9.6 - Prob. 51SECh. 9.6 - The recent default rate on all student loans is...Ch. 9.6 - Prob. 53SECh. 9.6 - Prob. 54SECh. 9.6 - BriteScreen, a manufacturer of 19-inch LCD...Ch. 9.6 - Perfect pitch is the ability to identify musical...Ch. 9.7 - A quality expert insects 400 items to test whether...Ch. 9.7 - Prob. 58SECh. 9.7 - For a certain wine, the mean pH (a measure of...Ch. 9.7 - Repeat the previous exercise, using = .05. For...Ch. 9.8 - A sample of size n = 15 has variance s2 = .35. At ...Ch. 9.8 - Prob. 62SECh. 9.8 - A sample of size n = 19 has variance s2 = .1.96....Ch. 9.8 - Prob. 64SECh. 9.8 - Prob. 65SECh. 9 - (a) List the steps in testing a hypothesis, (b)...Ch. 9 - (a) Explain the difference between the null...Ch. 9 - (a) Why do we say fail to reject H0 instead of...Ch. 9 - (a) Define Type I error and Type II error. (b)...Ch. 9 - (a) Explain the difference between a left-tailed...Ch. 9 - Prob. 6CRCh. 9 - Prob. 7CRCh. 9 - (a) Why do we prefer low values for and ? (b) For...Ch. 9 - Prob. 10CRCh. 9 - Prob. 11CRCh. 9 - (a) Explain what a p-value means. Give an example...Ch. 9 - Prob. 13CRCh. 9 - (a) What does a power curve show? (b) What factors...Ch. 9 - (a) In testing a hypothesis about a variance, what...Ch. 9 - Suppose you always reject the null hypothesis,...Ch. 9 - Suppose the judge decides to acquit all...Ch. 9 - High blood pressure, if untreated, can lead to...Ch. 9 - A nuclear power plant replaces its ID card...Ch. 9 - A test-preparation company advertises that its...Ch. 9 - Prob. 71CECh. 9 - Prob. 72CECh. 9 - Prob. 73CECh. 9 - Pap smears are a test for abnormal cancerous and...Ch. 9 - Prob. 75CECh. 9 - Prob. 76CECh. 9 - Malcheon Health Clinic claims that the average...Ch. 9 - The sodium content of a popular sports drink is...Ch. 9 - A can of peeled whole tomatoes is supposed to...Ch. 9 - At Ajax Spring Water, a half-liter bottle of soft...Ch. 9 - Prob. 81CECh. 9 - Prob. 82CECh. 9 - A U.S. dime weighs 2.268 grams when minted. A...Ch. 9 - A coin was flipped 60 times and came up heads 38...Ch. 9 - Prob. 85CECh. 9 - Prob. 86CECh. 9 - Prob. 87CECh. 9 - Prob. 88CECh. 9 - Prob. 89CECh. 9 - Prob. 90CECh. 9 - Prob. 91CECh. 9 - Prob. 92CECh. 9 - The average service time at a Noodles Company...Ch. 9 - Prob. 94CECh. 9 - Prob. 95CECh. 9 - Beer shelf life is a problem for brewers and...Ch. 9 - Prob. 97CECh. 9 - Prob. 99CECh. 9 - Prob. 100CECh. 9 - Prob. 101CECh. 9 - Prob. 102CECh. 9 - An experimental medication is administered to 16...Ch. 9 - The historical on-time percentage for Amtraks...Ch. 9 - After 7 months, none of 238 angioplasty patients...Ch. 9 - A certain brand of flat white interior latex paint...Ch. 9 - Prob. 107CECh. 9 - Prob. 108CECh. 9 - Prob. 109CE
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- The Northwest Missourian reported that 17% of all Northwest students attended a Northwest Encore performance in the past year. A Statistics student believes this percentage should be higher and conducted a simple random sample of 90 Northwest students and found that 18 had attended a Northwest Encore performance in the past year. If all the conditions are met in a hypothesis test, what is the p-value of the hypothesis test on this sample? a) 0.449 b) 0.224 c) 0.200 d) 0.776 e) 0.758arrow_forwardIn each part, we have given the significance level and the P-value for a hypothesis test. For each case determine if the null hypothesis should be rejected. Write "reject" or "do not reject" (without quotations). (a) α=0.07,P=0.06α=0.07,P=0.06answer: (b) α=0.06,P=0.06α=0.06,P=0.06answer: (c) α=0.01,P=0.06α=0.01,P=0.06answer:arrow_forwardThe proportion of mango trees on an island that produce only dwarf fruit is p1. The proportion of mango trees on a different island that produce only dwarf fruit is p2. What is the null hypothesis for a test to determine if the proportions are different between the two islands? Select the correct answer below: H0: p1−p2≠0 H0: p1−p2=0 H0: p1−p2>0 H0: p1−p2<0arrow_forward
- If, in a sample of n = 16 selected from a normal population, X = 56 and S = 12, what is the value of tSTAT if you are testing the null hypothesis H0: m = 50? use the hypothesis testing stepsarrow_forwardAnswer the following using the 5-step hypothesis testing procedure: A television channel claims that 40% of the population who watch TV patronize their TV channel. After collecting 70 samples, they found that 30 of them watch the said TV channel. Use ɑ=0.01 to test their claim.arrow_forwardAre the requirements met to test a hypothesis for the following two population proportions? If not, state which requirement is not met, and show whyit fails. In a random sample of 100car owners, 85% said they were happy with the fuel economy of their car. In a random sample of 80truck owners, 4% said they were happy with the fuel economy of their truck.arrow_forward
- In each part, we have given the significance level and the P-value for a hypothesis test. For each case determine if the null hypothesis should be rejected. Write "reject" or "do not reject" (without quotations). (a) ?=0.06,?=0.06α=0.06,P=0.06 answer: (b) ?=0.01,?=0.06α=0.01,P=0.06 answer: (c) ?=0.07,?=0.06α=0.07,P=0.06 answer:arrow_forwardwhat is measured by Cohen's d for a hypothesis test with a t statistic?arrow_forwardMisconceived hypotheses. What is wrong with each of the following hypothesis statements? H0: μ = 100 vs. Ha: μ ≠ 110 H0: x̄ = 100 vs. Ha: x̄ < 100 or could write as H0: x̄ >= 100 vs. Ha: x̄ < 100 H0: p^ = 0.50 vs. Ha: p^ ≠ 0.50arrow_forward
- With a p value of .04 and an ⍺ of .05, should you reject or fail to reject the null hypothesis?"arrow_forwardState whether each of the following hypothesis tests is valid or not, if not explain why. a. H0 ∶ μ1 - μ2 > 0 vs Ha∶ μ1 - μ2 = 0 b. H0 ∶ μ = 10 vs Ha ∶ μ < 10arrow_forwardA random sample of women is obtained, and each person in the sample is asked if she would purchase a new shoe model. The new shoe model would be successful in meeting corporate profit objective if more than 25% of the women in the population would purchase this shoe model. The following hypothesis test can be performed at a level of α = 0.03 using p̂ as the sample proportion of women who said yes.H0 :P ≤ 0.25H1 :P > 0.25What value of the sample proportion, p̂, is required to reject the null hypothesis, given the following sample sizes?a. n = 400 c. n = 625b. n = 225 d. n = 900arrow_forward
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