The correct option is we might have made type 2 error.
Because here the case of failed to reject Ho, It is possible that H1 is true.
Suppose you used 5% significance level to make a decision: you failed to reject Ho. Now,...
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.
please explain how you determine which error it is as well
A test of Ho: μ-51 versus HI : μメ51 is performed using a significance level of α-0.01. The value of the test statistic is z 2.34. Part 1 of 3 Determine whether to reject Ho Y in the critical region, we ireject Since the test statistics 1 Ho at the α-0.01 level. Part 2 of 3 If the true value of u is 51, is the result a Type...
Given: Ho:p≥.8, Ha: p<.8, n=19, Reject Ho if X≤12 (a) Find the level of significance α. (b) Find β(p1) if in fact p = .5. (c) Find the power against the alternative p = .5. (d) Suppose that X is observed to be xo=14 (i) What is your decision? (ii) What type of error are you subject to? (iii) Find the P-value. (e) Set up a rejection region so that α is as close as possible to, but does not...
Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and H :> 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 <u< 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the...
Given. Ho:p28, Ha: p<.8, n= 19, Reject Ho if X 12 (a) Find the level of significance α. (b) Find β(pl) if in fact p-5. (c) Find the power against the alternative p-.5. (d) Suppose that X is observed to be xo-14 (i) What is your decision? (ii) What type of error are you subject to? (iii) Find the P-value. (e) Set up a rejection region so that α is as close as possible to, but does not exceed.01. State...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 sus 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If...
Perform a hypothesis test for the following sample. The significance level alpha is 5%. Sample: 7.9,8.3,8.4, 9.6,7.7, 8.1, 6.8,7.5,8.6,8,7.8,7.4,8.4,8.9,8.5,9.4,6.9,7.7. Test if mean 8.7. Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs:"<" ">", "-" or "メ" and numbers. Hint: in your answers use "<>" instead of " " HO: mean H1:mean 2 p-value (rounded to three decimal places) 3 Conclusions, based on the results, which of the following options is correct: A Reject H0 and...
Which of the following statements are true about the significance level a of a test? 1. It is the probability that we fail to reject Ho when it is false. II. It is the probability that we reject Ho when it is true. III. The probability for us to make a Type Il error is 1 - a. O ll only o Tonly O all are true O II and III O III only
1. As a researcher you mistakenly reject Ho when you should have failed to reject it. You have committed a error. a.Type I Type II c. Type III 2. The Seven Countries Study (an epidemiologic study) found a correlation of r-84 between deaths from CHD and % of calories consumed from saturated fat. This means that: a. There is an indirect relationship between saturated fat consumption and death from CHD. b.Saturated fat causes CHD c. Further study between saturated fat...
If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTA +2.33 Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table Determine the decision rule. Select the correct choice below and fill in the answer box(es) within your choice (Round to two decimal places as needed.) O A. Reject Hoit STAT O STAT+ OB....