Suppose we wish to test H0: μ=45 vs. H1: μ> 45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50? Group of answer choices
We have made a Type I error.
We have made a Type II error.
We have made both a Type I error and a Type II error.
We have made the correct decision.
with
Suppose we wish to test H0: μ=45 vs. H1: μ> 45. What will result if we...
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...
please show your work......................
The level of significance can be: 10. a. any number between -1.0 and 1.0 b. any number greater than zero c. any number greater than 1.96 or less than -1.96. d. None of these choices 11. a. b. c. d. Which of the following is an appropriate null hypothesis? The mean of a population is equal to 60. The mean of a sample is equal to 60 The mean of a population is not equal to...
A test of H0: μ = 20 versus H1: μ > 20 is performed using a significance level of α = 0.05. The value of the test statistic is z = 1.47. If the true value of μ is 25, does the test conclusion result in a Type I error, a Type II error, or a Correct decision?
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 155 and the population standard deviation is assumed known with σ = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and...
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...
If we test the following: H0: μ = 17 vs. H1: μ ≠ 17 and the test statistic (tobs.) is -2.93 for n = 16, so the p-value for this test is Select one: to. .01 <value p <.02 b. .02 <value p <.05 c. .02 <value p <.01 d. 0.0034
Determine whether the outcome is a Type I error, a Type II error, or a correct decision. A test is made of H0: μ = 40 versus H1: μ ≠ 40. The true value of μ is 40 and H0 is rejected. Group of answer choices Correct decision Type II error Type I error
Consider the following hypothesis test. H0: ≥ 10 H1: <10 The sample size is 120 and the standard deviation of the population is 5. Use a = 0.05. a. If the real value of the population mean is 9, what is the probability that the mean of the sample will lead us not to reject H0? b. What type of error would be committed if the real value of the population mean was 9 and we conclude...
For the following hypothesis test, where Ho S 10. vs. Hau > 10, we reject Ho at level of significance a and conclude that the true mean is greater than 10, when the true mean is really 8. Based on this information, we can state that we have O made a Type I error. O made a Type Il error. O made a correct decision increased the power of the test.
(a) Suppose the null and alternative hypothesis of a test are: H0: μ= 9.7 H1: μ >9.7 Then the test is: left-tailed two-tailed right-tailed (b) If you conduct a hypothesis test at the 0.02 significance level and calculate a P-value of 0.07, then what should your decision be? Fail to reject H0 Reject H0 Not enough information is given to make a decision