Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 11.2, Problem 15BSC
In Exercises 5–18, test the given claim.
15. Clinical Trial of Echinacea In a clinical trial of the effectiveness of echinacea for preventing colds, the results in the table below were obtained (based on data from “An Evaluation of Echinacea Angustifolia in Experimental Rhinovirus Infections,” by Turner et al., New England Journal of Medicine, Vol. 353, No. 4). Use a 0.05 significance level to test the claim that getting a cold is independent of the treatment group. What do the results suggest about the effectiveness of echinacea as a prevention against colds?
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Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level.
H0:μw=μeHa:μw≠μe
t0=2.364
t0.01=±2.099
Select the correct answer below:
No; the test statistic is not between the critical values.
No; the test statistic is between the critical values.
Yes; the test statistic is not between the critical values.
Yes; the test statistic is between the critical values.
Independent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level.
H0:μw≥μeHa:μw<μe
t0=−2.344
t0.04=−2.107
Select the correct answer below:
Yes; the test statistic is greater than the critical value.
No; the test statistic is less than the critical value.
No; the test statistic is greater than the critical value.
Yes; the test statistic is less than the critical value.
Independent random samples of 27 people living on the west side of a city and 26 people living on the east side of a city were taken to determine if the income levels of west side residents are less than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are less than the income levels of east side residents, at the 4% significance level.
H0:μw≥μeHa:μw<μe
t0=−2.344
t0.04=−2.107
Chapter 11 Solutions
Essentials of Statistics (6th Edition)
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- Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city were taken to determine if the income levels of west side residents are greater than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are greater than the income levels of east side residents, at the 2% significance level. H0:μw≤μeHa:μw>μe t0=0.511 t0.02=2.104 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. Yes; the test statistic is less than the critical value.arrow_forwardThe data below are stress-test scores from 6 nurses from the Emergency Care (EC) unit and 6 nurses from the Long Term (LT) care unit who were randomly selected for the study. The investigator wants to test, at the 5% level, whether there is a difference in stress test scores in the EC group and the LT group. EC LT 5 2 9 3 8 5 10 6 7 4 6 2 State the hypotheses. What statistical test should be used to determine if there is a difference in stress scores between EC and LT nurses? Determine the appropriate critical value and set up the decision rule. Compute the test statistic. Interpret your results. Give your conclusion.arrow_forwardThe General Social Survey polled 1280 men and 1531 women to determine their level of education. The results are presented in the following table. Test at the 0.01 level of significance if education level is independent of gender. Education Level No High School Diploma High School Diploma Associate’s Degree Bachelor’s Degree Graduate Degree Men 178 608 96 248 150 Women 186 827 128 259 131 (a) State the hypotheses. (b) Statetheteststatistic. (c) CalculatetheP-value. (d) Makeadecision. (e) Statetheconclusionaddressingtheoriginalclaim.arrow_forward
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- Does cable video-on-demand (VOD) increase ad effectiveness? A study compared general TV and VOD audiences after viewing a brand ad. Whether the viewer indicated that the ad made them want to visit the brand website was collected and organized in the accompanying table. Complete parts (a) through (b) below. Test at the 1% level of significance. Set up null and alternative hypotheses to try to determine whether there is a difference in ad impact between general TV viewing and VOD viewing. Let group 1 be the general TV audience, and let group 2 be the VOD audience. State the null and alternative hypotheses. Choose the correct answer below. A. H0: P1<P2 H1: P1≥P2 B. H0: P1=P2 H1: P1≠P2 C. H0: P1≠P2 H1: P1=P2 D. H0: P1≤P2 H1: P1>P2 E. H0: P1>P2 H1: P1≤P2 F. H0: P1≥P2 H1: P1<P2 Calculate the test statistic. Conduct the hypothesis test defined in (a), using the 0.01 level of significance.…arrow_forwardA consumer group complains that the gas tax (in cents per gallon) levied by thefederal, state, and local governments is too high. The following data give the gas tax(in cents per gallon) in 16 metropolitan areas around the country:53 42 42 52 58 42 58 3847 43 59 45 42 49 47 47Assuming normality, test at the 5% level of significance the hypothesis H0: μ =50 versus H1: μ > 50.arrow_forwardA 2020 poll in the Bahamas surveyed 2,400 people about taxing sweetened beverages. The results are provided in the image below and are classified by age group and opinion. a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance?arrow_forward
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