For a two-sided test where the level of significance (probability of a type 1 error) =...
For a two-sided test where the level of significance (probability of a type 1 error) = 0.05, we reject the null hypothesis when . . . .
Homework Answers
We can reject the null hypothesis if p-value for this test is less than 0.05. Here we need to find the p-value for two - tailed test. Otherwise we can find the critical values at 0.025 level of significance. If the absolute value of test statistic is greater than the critical value at 0.025. We have enough evidence to reject the null hypothesis.
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For a two-sided test where the level of significance
(probability of a type 1 error) =...
α is the probability of a Type I error, which occurs when we accept the alternative...
α is the probability of a Type I error, which occurs when we accept the alternative H1 when the null hypothesis Ho is true. True False A Type II error occurs when when a false null hypothesis is rejected. True False If a null hypothesis is rejected at the 5% significance level but not at the 1% significance level, then the p-value of the test is less than 1%. True False The power of a test is the probability of...
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis...
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of H0:μ=100. You chose a significance level of α=0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of μ is 104. How would you describe the result of your analysis? A) A Type 1 error was made because...
1) The _____ refers to the probability of a _____. A. Level of significance, type I...
1) The _____ refers to the probability of a _____. A. Level of significance, type I error B. level of significance, type II error 2) Of the five steps for testing a hypothesis, _____ involves selecting a test statistic, with step 4, a _____ is formulated and with step 5, a _____ is made. A.step 2, decision, decision B. step 1, decision, decision 3) The most common alphas are _____, _____ and _____. A. 0.01, 0.05, 0.10 B. 0.001, 0.002,...
Which of the following is a TRUE statement about hypothesis testing? The probability of a Type...
Which of the following is a TRUE statement about hypothesis testing? The probability of a Type I error plus the probability of a Type II error always equals one. The power of a test concerns its ability to detect a null hypothesis. If there is sufficient evidence to reject a null hypothesis at the 5% level, then there is sufficient evidence to reject it at the 10% level. Whether to use a one-sided or a two-sided test is typically decided...
Question 29 1 pts If a test of hypothesis is conducted at a 0.05 level of...
Question 29 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The conclusion is: Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Question 30 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The potential type of statistical error is: Type Il error Type...
(3 points) When one changes the significance level of a hypothesis test from 0.10 to 0.05,...
(3 points) When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. A. The chance of committing a Type I error changes from 0.10 to 0.05. B. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis). C. The chance that the null hypothesis is true changes from 0.10 to 0.05. D. It becomes easier to prove...
1. a) For a test at a fixed significance level, and with given null and alternative...
1. a) For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? b) For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the significance level was changed from 5% to 1%. c) A test of a given null hypothesis against a given alternative...
. When we carry out a statistical test with significance level α = 5%, the probability...
. When we carry out a statistical test with significance level α = 5%, the probability of rejecting the null hypothesis when it is true is 5%. Suppose that we independently select 5 random samples of size 100, and for each sample carry out the same statistical test with significance level 5%. We know that the null hypothesis is true. What is the probability that we reject the null hypothesis at most once out of the 5 tests? (a) 0.02...
Which statement best describes the significance level of a hypothesis test? The probability of obtaining a...
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.
Suppose a hypothesis test is conducted using a significance or alpha level of 0.05, and the...
Suppose a hypothesis test is conducted using a significance or alpha level of 0.05, and the null hypothesis is rejected. This means that? A we would also reject the null hypothesis if the significance level had been 0.10 instead of 0.05. B the p-value was greater than 0.05. C we would also reject the null hypothesis if the significance level had been 0.01 instead of 0.05. D All answer options are correct.
Question 29 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The conclusion is: Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Question 30 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The potential type of statistical error is: Type Il error Type...
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.
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