What is the definition of level of significance? Use the terms alpha level, level of significance, rejection region, and probability of a Type 1 error in the definition through a single sentence ONLY.
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- Which element of a test of a hypothesis is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis? Conclusion Test statistic Level of significance Rejection regionis there evidence that the average infant mortality rate increases with teen birth rate? assume that the significance level is 0.05. i. state the null and alternative hypothesis. ii. should we reject or fail to reject the null? iii. justify using the rejection regionThe Web site salary.com reports that the mean salary for marketing managers is $82,000. A random sample of 36 marketing managers taken during the recession showed a mean salary of $78,000. Assume that σ = $8000. Test using level of significance α = 0.0 3 whether the population mean salary for marketing managers differs after the recession. Show all five steps (I hypothesis, II compute test statistic, III find rejection region or p value, V decision, VI conclusion)
- A random sample of 319 front-seat occupants involved in head-on collisions in a certain region resulted in 95 who sustained no injuries. We wish to use this sample data to test whether the true proportion of uninjured occupants in head-on collisions exceeds 0.25 or not. What would your conclusions be for this test of hypothesis, given a 5% significance level?Is the test statistic in the rejection region? how do you know ?Is the addition of SOUTH and URBAN statistically valuable (at the .05 significance level)? How do you justify this conclusion?
- An article reports that blue eyed people earn less than brown eyed people. Average blue eyed salary, $35,000, average brown eyes $37,000, p-value 0.45. Based on that reported p-value and using the common definition of "statistical significance" which is the case?Select all the answers that are associated with the p value Type I error alpha significance level Critical value Type II error