In hypothesis testing, the level of significance (a) is also known as the size of the...
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis? A. Obtaining data with a large P-value. B. Using a small level of significance. C. Using a large level of significance. D. Obtaining data with a small P-value. (b) In formulating hypotheses for a statistical test of significance, the null hypothesis is often A. a statement of "no effect" or "no difference". B. the probability...
1. In hypothesis testing, the hypothesis that is assumed to be true for the purpose of testing is called the hypothesis 2. (Circle the correct response) In hypothesis testing, critical values used to make a rejection decision regarding the null hypothesis are determined by the nature of the hypothesis test (two-tail vs. one-tail) and the d. significance level a. sample size b. population parameter c. target value 3. (Circle the correct response) In the process of hypothesis testing, the test...
A random sample of size 295 has x=104. The significance level ? is set at 0.05. The P-value for testing H0: ?=100 against Ha: ??100 is 0.057. Identify all the incorrect statements below regarding this P-value of 0.057. (Select all that apply.) The probability of Type I error equals 0.057. If H0 is true, the probability obtaining a sample mean that would show at least as much evidence against H0 as the observed sample mean is 0.057. The probability that...
QUESTION 4 a) What is meant by critical region and significance level in hypothesis testing? (2 marks) b) A random sample X1, X2...., X, of size n is obtained from a normal distribution with mean, u and variance, 81. We are interested to test Ho : 4 = 100 against H, : x = 104. 1) Show that a best critical region according to Neyman-Pearson lemma is 82c. (8 marks) ii) Find the sample size, n given that the significance...
a) A significance level of = 0.01 is used in testing a researcher's claim that μ > 100 and the sample data give a test statistic of z = 2.03. Determine the rejection region for this test, and then state the decision for such a test. b) A significance level of = 0.05 is used in testing a researcher's claim that μ 100 and the sample data give a test statistic of z = -1.85. Determine the rejection region for...
Explain the influence a level of significance and sample size has on hypothesis testing. Provide an example of the influence and explain how it impacts business decisions.
If a significance level of 0.01 is used in testing the null hypothesis that ? = 0.30 against the alternative that , based on a random sample of size n = 15, then the relevant tabled value is . . . .
13. Based on some given data set, the P-val" kr testing 11. μ-75v. 1h : μ<75is found to be 0902. Based on the-ne data w. find P-value for testing Ho:p75 v. HS (a) 0.019 (b) 0.038 (c) 0.076 (d) 0.481 14. Based on a random sample of 21 observations selected from a normal population, the sample standard deviation is s7.2. We test Ho : σ2-30 vs. 111 : σ2 > 30 at the 0.05 level of significance. Find the rejection...
Which statement best describes the significance level of a hypothesis test? The probability of obtaining a sample under the assumption that the null hypothesis is true that is more unusual than the observed sample b. The probability of making a Type 1 error The probability of making a Type Il error. d. The probability of correctly rejecting the null hypothesis.
If you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level. Select one: True False