5. The p-value in hypothesis testing represents which of the following, Please select thebest answer of those provided below.a. The probability of failing to reject the null hypothesis, given the observed resultsb. The probability that the null hypothesis is true, given the observed resultsc. The probability that the observed results are statistically significant, given that thenull hypothesis is true.d. The probability of observing results as extreme or more extreme than currentlyobserved, given that the null hypothesis is true

p-value: p-value is the probability that the observed data is occurred by chance. In other words, it…

Answered: The p-value in hypothesis testing…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. A. The chance that the null hypothesis is true changes from 0.10 to 0.05. OB. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis). c. It becomes harder to prove that the null hypothesis is true. OD. The chance of committing a Type I error changes from 0.10 to 0.05. ⒸE. The chance of committing a Type II error changes from 0.10 to 0.05. OF. It becomes easier to prove that the null hypothesis is true. ⒸG. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).
When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.
Suppose you have a hypothesis test which never rejects the null hypothesis, no matter the value of the test statistic. Name a potential problem with such a test. Select one: a. There can be no problem with such a hypothesis test, this is the ideal scenario. b. Using this test would lead to making an excessive number of Type I errors. c. Using this test would lead to making an excessive number of Type II errors.
Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men who own cats is different from the proportion of women who own cats. Connie decides to test this claim by performing a two-sample ?-test for two proportions. Her hypotheses are given by ?0:??=???1:??≠?? where ?0 is the null hypothesis, and ?1 is the alternative hypothesis. The variables ?? and ?? represents the population proportion of men and women cat owners, respectively. She randomly samples 420 men and 493 women who are pet owners in the community and finds that 234 men own cats and 256 women own cats. Determine the pooled sample proportion, ?̂. Provide your answer precise to three decimal places. Compute the standard error of the difference of the sample proportions (SE). Provide your answer precise to three decimal places. SE = ?̂=
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H, when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P= 0.0406 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0406, is less than a = 0.01. O B. Fail to reject H, because the P-value, 0.0406, is less than a = 0.01. OC. Reject H, because the P-value, 0.0406, is greater than a = 0.01. O D. Fail to reject H, because the P-value, 0.0406, is greater than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.0406, is greater than a= 0.05. O B. Reject H, because the P-value, 0.0406, is less than a = 0.05. O C. Reject H, because the P-value, 0.0406, is greater than a = 0.05. O D. Fail to reject H, because the P-value, 0.0406, is less than a = 0.05. (c) Do you reject or fail to reject H, at the 0.10 level of significance? O A. Reject H,…
Robert, a starting player for a major college basketball team, made only 38.4% of his free-throws in previous seasons. During the summer, he worked on developing a softer shot in hopes of improving his free throw accuracy. In the first eight games of the season, Robert made 25 free throws of 40 (or 62.5%). We wish to test if the practice helped. Which of the following are the appropriate null and alternative hypotheses, letting p denote his new free-throw shooting probability The null hypothesis is H0: ["", "", "", ""] The alternative hypothesis is Ha:
The smaller the P-value, the ______ support for the alternate hypothesis -More -Less
Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses. H0: the food is safe Ha: the food is not safe The following is an example of what type of error? The sample suggests that the food is safe, but it actually is not safe. Choose one below a. type I b. type II c. not an error
In hypothesis testing, O if the P-value is 0.01, we should conclude there is a 1% chance the null hypothesis is false. O neither the test statistic nor the P-value can ever be negative. O we always begin the hypothesis test by assuming the null hypothesis is true. O if the P-value is 0.99, we should conclude that the null hypothesis is true. O results that are statistically significant will always be practically important (or practically significant).
What are the null and alternative hypotheses? A.H0: The racial distribution is the same in at least two of the four regions. Ha: The racial distribution is not the same in at least two of the four regions. B. H0: The racial distribution is the same in each of the four regions. Ha: The racial distribution is not the same in each of the four regions. C. H0:The racial distribution is not the same in each of the four regions. Ha:The racial distribution is the same in each of the four regions. D. H0: The racial distribution is not the same in at least two of the four regions. Ha: The racial distribution is the same in at least two of the four regions. Find the test statistic. χ2= (Round to three decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Choose the correct conclusion below. A. Do not reject H0. The data do not provide sufficient evidence that there is a difference. B. Do not reject…

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