Which of the following is a type I error?
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- Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.32. Which of the following is a type I error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32. B. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32. C. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32. D. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32. Which of the following is a type II error? A. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. Your…You are asked to test the null hypothesis at the .05 level of significance and you end up with z-observed being equal to -1.83. What would be the appropriate decision to make?A 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 test
- In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, αWhich of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.Did the ductility of the wire change after soaking it to an acid solution? Infer from the data below: Ductility before soaking Ductility after soaking 2563 2405 2564 2406 2565 2407 2566 2408 2567 2409 2452 2693 2453 2694 2454 2695 2455 2696 2456 2697 2634 2589 2635 2590 2636 2591 2637 2592 1.) Create a null and alternative hypothesis 2.) Is there a significant change before and after soaking? Prove it using computations
- Ex 9. Suppose that a national survey finds that 73 percent of restaurant employees say that work stress has a negative impact on their personal lives. A random sample of 200 employees of a large restaurant chain finds that 141 employees say that work stress has a negative impact on their personal lives. a. Formulate the null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage. b. Use critical values to perform the hypothesis test by setting α equal to .10, .05, .01, and .001Which of the following relates to the rejection of the null hypothesis when it is actually false? 1. Type I error 2. Type II error 3. Power 4. Statistical significance