A Type II error is committed whencritical value is greater than the value of the test statistic○ a true null hypothesis is rejectedO a true alternative hypothesis is rejectedO the validity of a claim was rejected

The objective of the question is to identify the correct scenario in which a Type II error is…

Answered: A Type II error is committed when…

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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What is F test of the null hypothesis?
If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True False
Provide an appropriate response. If we fail to reject the null hypothesis when the null hypothesis is false, then we have made a Type B error Type I error Correct decision Type II error
A scientist has read that the mean birth weight, u, of babies born at full term is 7.5 pounds. The scientist, believing that u is different from this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.9 pounds and the standard deviation to be 1.6 pounds. Based on this information, answer the questions below.
A hypothesis test is performed at significance level a=0.05: The p-value is found to be 0.001. What can we conlcude? O Our dataset and statistical test proves that the null hypothesis it true. O The statistical test in inconclusive, and the dataset is neither evidence for or against any hypothesis. O none of these O Our dataset and statistical test leads us to believe the null hypothesis is true, but we cannot say for sure. Our dataset is evidence in support of the null hypothesis. O Our dataset and statistical test leads us to reject the null hypothesis. Our data is statistically significant evidence against the null hypothesis. O Our dataset and statistical test proves that the null hypothesis it false.
All test of hypothesis are based on the assumptions that A. The null hypothesis is true B. The observed difference is important c. The null hypothesis is false and should be rejected D. Type l errors are more serious than type ll errors E. None of the above
For a hypothesis test, the critical region is defined as the set of sample outcomes that is very unlikely to be obtained if the null hypothesis is true. True False
Which of these is true regarding hypothesis tests? If the P-value is less than the specified alpha level, the null is accepted If the P-value is less than the specified alpha level, the null is rejected in favor of the alternative If the P-value is greater than the specified alpha level, the alternative is accepted none of these statements is true If the P-value is greater than the specified alpha level, the null is rejected in favor of the alternative
Identify the claim and state Ho and H Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim. A government agency reports that the mean amount of earnings for full-time workers ages 25 to 34 with a master’s degree is less than $70,000. In a random sample of 15 full-time workers ages 25 to 34 with a master’s degree, the mean amount of earnings is $66,231 and the standard deviation is $5945. At α = 0.05, is there enough evidence to support the agency’s claim? Assume the population is normally distributed.
A p-value smaller than the significance level, a means.... We should reject the Null Hypothesis O We should not reject the Null Hypothesis

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A Type II error is committed when critical value is greater than the value of the test statistic ○ a true null hypothesis is rejected O a true alternative hypothesis is rejected O the validity of a claim was rejected