Which of the following statements is NOT true?O The probability of committing a Type II error is the same as the level ofsignificance, .The probability of committing a Type I error is the same as the level ofsignificance, .O AType l error is committed when we reject the null hypothesis when in fact it istrueO A Type Il error is committed when we fail to reject the null hypothesis when infact it is false.

Answered: Which of the following statements is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Test the claim that the mean GPA of night students is larger than 2.7 at the 0.01 significance level. The null and alternative hypothesis would be: 2.7 Но:р > 0.675 Но: д > 2.7 Но:р Н:р> 0.675 Hi:д + 2.7 Н:р 2.7 Но: р< 0.675 Но: и 0.675 Но: р < 2.7 The test is: two-tailed left-tailed right-tailed Based on a sample of 25 people, the sample mean GPA was 2.75 with a standard deviation of 0.05 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis Fail to reject the null hypothesis
Recall that a test is statistically significant at a particular significance level if the null hypothesis is rejected. If a test is statistically significant at 5% level of significance, then A the null hypothesis will also be rejected at 10% level of significance. B we cannot determine if the null hypothesis would be rejected at any other level of significance. C the null hypothesis will also be rejected at 1% level of significance. D the null hypothesis will not be rejected at 1% level of significance. E the null hypothesis will not be rejected at 10% level of significance.
Suppose that we have two different data sets. The first data set has size n1 = 76 observations and the second data set has n2 = 97 observations. Suppose that we use the first data set to test some hypothesis at the 2% significance level, and then we use the second data set to test some other hypothesis at the 9% significance level. Suppose that both null hypotheses are true, and that the hypothesis tests are independent. What is the probability of making at least one Type I error?
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that u is 142, but you believe that u differs from 142. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 148 and that the standard deviation of their scores is 22. Based on this information, answer the questions below.
What does it mean if we fail to reject the null under Leven’s test? What does it mean if reject the null under Leven’s test?
A Type I error is: Select one: incorrectly specifying the null hypothesis. accepting the null hypothesis when it is false. rejecting the null hypothesis when it is true. incorrectly specifying the alternative hypothesis.
Which of the following statements about P-values is/are FALSE? (more than 1 might be false) If the P-value is smaller than the significance level, the result is said to be statistically significant. If the P-value is larger than the significance level, the null hypothesis is rejected. The P-value is the probability that the alternate hypothesis is false. | The P-value is the probability that the null hypothesis is false.
Two types of incorrect decisions can be made in a hypothesis test: a Type I error and a Type II error. a. Explain the meaning of each type of error. b. Identify the letter used to represent the probability of each type of error. c. If the null hypothesis is in fact true, only one type of error is possible. Which type is that? Explain your answer. If you fail to reject the null hypothesis, only one type of error is possible. Which type is that? Explain your answer.
If we perform a paired t test and retain the null hypothesis, then what does this mean if we made measurements on each subject before and after a particular treatment? Group of answer choices There is NO difference in outcomes before and after the treatment was given There is a difference in outcomes before and after the treatment was given
If you make an error of rejecting the null hypothesis when it is true, this type of error is Type I error. True False
23
Which of the following is an example of a Type 1 error? Rejecting a false null hypothesis. Rejecting a true null hypothesis. Failing to reject a false null hypothesis. Failing to reject a true null hypothesis.

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