Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
9th Edition
ISBN: 9781337098120
Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Chapter 8.3, Problem 2LC
To determine
The effect of increasing the sample size from 4 to 25.
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Suppose in a hypothesis testing, we obtained a pp-value of 0.003. Which of the following is/are FALSE about pp-value?
A.
If Type I error rate is set at 0.05, we can reject the null hypothesis.
B.
We cannot reject the null hypothesis if we set αα to 0.001.
C.
This pp-value indicates that there is a small chance that that the null hypothesis is true.
D.
This pp-value indicates a big effect size.
E.
B and C
F.
C and D
A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition.
The hypotheses used were:
H0: µ = 30
Ha: µ > 30
A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained.
Which of the following is correct?
a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089.
b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089.
c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from…
A simple random sample of size 200 is taken from a much larger group of male wrestlers prior to a competition. The average weight in the sample is 190 pounds, with an SD of 20 pounds.
The average weight of the population is estimated to be 190 pounds, and this estimate is likely to be off by about _______.
Chapter 8 Solutions
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 8.1 - In general terms, what is a hypothesis test? 1. A...Ch. 8.1 - A sample is selected from a population with a mean...Ch. 8.1 - Which of the following accurately describes the...Ch. 8.1 - A sample of n - 25 individuals is selected from a...Ch. 8.2 - What does a type II error mean? a. A researcher...Ch. 8.2 - Which of the following defines a Type I error? a....Ch. 8.2 - Prob. 3LCCh. 8.3 - A research report includes the statement, z -...Ch. 8.3 - Prob. 2LCCh. 8.3 - What assumption is needed before you can use the...
Ch. 8.4 - A population is known to have a mean of = 50. A...Ch. 8.4 - A researcher is conducting an experiment to...Ch. 8.4 - A researcher expects a treatment to produce an...Ch. 8.5 - Under what circumstances can a very small...Ch. 8.5 - A sample of n - 9 scores is selected from a...Ch. 8.5 - If other factors are held constant, then how does...Ch. 8.6 - If the power of a hypothesis test is found to be p...Ch. 8.6 - How does the sample size influence the likelihood...Ch. 8.6 - How is the power of a hypothesis test related to...Ch. 8 - Identify the four steps of a hypothesis test as...Ch. 8 - Define the alpha level and the critical region for...Ch. 8 - Define a Type I error and a Type II error and...Ch. 8 - If the alpha level is changed from = .05 to =...Ch. 8 - Explain how each of the following influences the...Ch. 8 - Ackerman and Goldsmith (2011) report that students...Ch. 8 - Babcock and Marks (2010) review survey data from...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - The psychology department is gradually changing...Ch. 8 - A random sample is selected from a normal...Ch. 8 - A random sample of n = 16 stores is selected from...Ch. 8 - In a study examining the effect of humor on...Ch. 8 - A random sample is selected from a normal...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - A high school teacher has designed a new course...Ch. 8 - Miller (2008) examined the energy drink...Ch. 8 - After examining over one million online restaurant...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - Research has shown that 10 scores have been...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...
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- If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .arrow_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_forwardA researcher obtains t=2.25 for a repeated measures study using a sample of n=10 participants. Based on this t value, what is the correct decision for a two- tail test at .05 and .01 alpha level?arrow_forward
- In a test of H0: µ=75 against HA: µ<75, a sample of size 450 produces Z = -1.19 for the value of the test statistic. Thus the p-value is approximately equal to:arrow_forward. In general, a ____ t-statistic and a _____ p-value (relative to a chosen critical value and alpha) indicate that our estimated statistic is ____ to occur by chance if the null is true. a. Large; large; likely b. Small; large; likely c. Small; small; unlikely d. Large; large; likelyarrow_forwardA random sample of n= 4 individuals is selected from a population with μ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.arrow_forward
- a hypothesis test produces a t statistic of t=2.3. if the researcher is using a two tailed test with a=0.05 how large does the sample have to bw in order to reject the null hypothesis?arrow_forwardA researcher first decided to conduct a two-tailed hypothesis test, with alpha = .05, but then decided she wants to reduce the risk of a Type I error. What should she do? a. Calculate her statistics more carefully. b. Decrease alpha to .01 c. Increase alpha to .15 e. Conduct a three-tailed testarrow_forwardA researcher conducts a hypothesis test using a sample of n = 20 with M = 34 and s 2 = 36 from an unknown population. What is the df value for the t statistic?arrow_forward
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