Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Textbook Question
Chapter 8, Problem 17P
A sample of n = 40 is selected from a normal population with
a. If the treatment effect is evaluated with a two-tailed hypothesis test using
b. What is the power of the test if the researcher uses a one-tailed test with
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You complete a hypothesis test using alpha = .05 and based on the evidence from the sample, your decision is to fail to reject the null hypothesis. If the treatment actually does have an effect, which of the following is true?
A researcher expects a treatment to increase the scores for individuals in a population. The treatment is evaluated using a one-tailed hypothesis test, and the test produces z = +2.40. Based on this result, which is the correct statistical decision
A researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses:
Ho:P = 0.51 vs. Ha :P = does not equal 0.51
a) Is the alternative hypothesis upper tail, lower tail, or two tailed?
b) What do you conclude if the test results p-value of 0.03 at alpha value = 5%
c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%
Chapter 8 Solutions
Essentials of Statistics for the Behavioral Sciences
Ch. 8.1 - The city school district is considering increasing...Ch. 8.1 - Prob. 2LCCh. 8.1 - Prob. 3LCCh. 8.1 - A researcher selects a sample of n = 16...Ch. 8.1 - A small value (near zero) for the z-score...Ch. 8.1 - Prob. 3LCACh. 8.2 - Prob. 1LCCh. 8.2 - Prob. 2LCCh. 8.2 - Prob. 3LCCh. 8.2 - Prob. 4LC
Ch. 8.2 - If a sample mean is in the critical region with =...Ch. 8.3 - Prob. 1LCCh. 8.3 - In a research report, the term significant is used...Ch. 8.3 - Prob. 3LCCh. 8.3 - Prob. 4LCCh. 8.3 - Prob. 5LCCh. 8.4 - A researcher selects a sample from a population...Ch. 8.4 - Prob. 2LCCh. 8.4 - A researcher obtains z = 2.43 for a hypothesis...Ch. 8.5 - Prob. 1LCCh. 8.5 - A researcher selects a sample from a population...Ch. 8.5 - Prob. 3LCCh. 8.6 - Prob. 1LCCh. 8.6 - For a 5-point treatment effect, a researcher...Ch. 8.6 - Prob. 3LCCh. 8.6 - Prob. 4LCCh. 8 - The value of the z-score in a hypothesis test is...Ch. 8 - Define the alpha level and the critical region,...Ch. 8 - Although there is a popular belief that herbal...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - A local college requires an English composition...Ch. 8 - A random simple is selected from a normal...Ch. 8 - A random sample of n = 25 scores is selected from...Ch. 8 - Brunt, Rhee, and Zhong (2008) surveyed 557...Ch. 8 - A random simple is selected from a normal...Ch. 8 - In a study examining the effect of alcohol on...Ch. 8 - The researchers cited in the previous problem...Ch. 8 - There is some evidence indicating that people with...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - Montarello and Martens (2005) found that...Ch. 8 - Researchers hate noted a decline in cognitive...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - A sample of n = 40 is selected from a normal...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...Ch. 8 - A researcher is investigating the effectiveness of...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - Find each of the requested values for a population...Ch. 8 - A survey of high school seniors shows that the...Ch. 8 - Miller (2008) examined the energy drink...
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- A researcher administers a treatment to a sample from a population with a mean of m=50. If the treatment is expected to increase scores and a one-tailed test is used to evaluate the treatment effect, the the null hypothesis states that m=40. True or false?arrow_forwardA random sample of a size n = 25 is obtained from a population with a variance of σ2 = 400, and the sample mean is computed to be x̅ c = 70. Consider the null hypothesis H0: μ = 80 versus the alternative hypothesis H1: μ = 80. Compute the p-value for this testarrow_forwardIf a researcher obtains a sample mean of M= 54, from a population with u = 46. With a given alpha, which combination of factors is most likely to result in rejecting the null hypothesis?arrow_forward
- Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 3. What is the Null Hypothesis? a)On average, weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general. (H0: X-bar = Mu)) b)On average, weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general. (H0: X-bar does not equal Mu) c)On average, weight loss in the keto diet sample differs from weight loss in the population of dieters in general. (H0: X-bar does not equal Mu) d)On average, weight loss in the keto diet sample differs from weight loss in the population of dieters in general. (H0: X-bar = Mu)arrow_forwardA consumer electronics firm has developed a new type of remote control button that is designed to operate longer before becoming intermittent. The best button on the market lasts an average of 1200 hours. A random sample of 36 new buttons is selected and each is tested in continuous operation until becoming intermittent. The resulting lifetime of each button was recorded and found to have a sample mean of 1275 hours. 1) What is the appropriate null hypothesis? H0: 2) What is the appropriate alternative hypothesis? Ha:arrow_forward3. A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 45. What critical value would she or he use? Justify your answerarrow_forward
- A researcher conducts a two-tailed hypothesis test with an alpha of 0.05 and obtains a z statistic of 2.11. What decision should she make? Question 6 options: accept the null hypothesis fail to reject the null hypothesis fail to reject the research hypothesis reject the null hypothesis Previous PageNext Pagearrow_forwardA sample is selected from a population with a mean of m = 30 and a treatment is administered to the sample. If the treatment is expected to increase scores and a t statistic is used for a one-tailed hypothesis test, then which of the following is the correct null hypothesis?arrow_forwardTo evaluate the effect of a treatment, one sample of n=8 is obtained from a population with population mean: u=40 and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M=35. 1. If the sample variance is s^2=32, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05? (show work please, and state both experimental and statistical hypotheses, and state your decision regarding the H0. (all 4 steps of hypothesis test) 2a. If the sample variance is s^2=72, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with alpha=.05? (please show your work and state your decision regarding the H0.) 2b. Calculate Effect size by using r^2 (percentage of variance explained) and state the meaning of effect size.arrow_forward
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