9. Suppose one were testing Ho :p 2.7 verses p<.7. What is meant by the power...

Question

Question

9. Suppose one were testing Ho :p 2.7 verses p<.7. What is meant by the power of the test at p = .6 ?

Answer 1

Answer #1

The power of test is the probability of rejecting the null hypothesis when it is false.

Suppose that from the given level of significance, our decision rule is that we reject the null hypothesis when p < 0.5

Then, the power of the test is the probability that the proportion is less than 0.5, given that the real proportion value is 0.6

Answer 2

Similar Homework Help Questions

A statistician was testing the following hypothesis: Ho: u < 501.3 The p-value approach was to...

A statistician was testing the following hypothesis: Ho: u < 501.3 The p-value approach was to be used with a sigma of 32.2. A sample of size of 51 gave a sample mean of 505.2. Find the p-value to 4 decimal places.
3.1 Find the p 50, x-: 9.5, s 7. In a test of Ho: μ vlaue....

3.1 Find the p 50, x-: 9.5, s 7. In a test of Ho: μ vlaue. (ans. 0.1271) 10 vs. Ha: μ < 10, for a sample with n
Consider testing Ho: u = 20 against Ha: u< 20 where u is the mean number...

Consider testing Ho: u = 20 against Ha: u< 20 where u is the mean number of latex gloves used per week by all hospital employees, based on the summary statistics n = 47, X = 19.2, and s = 11.5. Complete parts a and b. a. Compute the p-value of the test. The p-value of the test is . (Round to four decimal places as needed.) b. Compare the p-value with a = 0.05 and make the appropriate conclusion....

3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the...

3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the .05 level and we are going to collect 10 pieces of data and o=1.2. Determine the probability of Type Il error for the alternative kl. = 79.25. ANSWER 4. Company A claims that their tires outlast the tires of Company B by more than 12.000 miles. We feel certain that Il = 62,000 ,- 5,100. Data for Company A is collected and summarized: Company...
What is the decision rule when using the p-value approach to hypothesis testing? Multiple Choice Do...

What is the decision rule when using the p-value approach to hypothesis testing? Multiple Choice Do not reject H0 if the pvalue < 1-α. Reject Ho if the p-value > a Do not reject H0 if the p-value > 1-α Reject Ho if the p-value < α.
(d) to 2.80 6. Suppose that you are testing the following hypothe ses where the variance...

(d) to 2.80 6. Suppose that you are testing the following hypothe ses where the variance is unknown: Ho: 100 H <100 The sample size is n 25. Find bounds on t P-value for the following values of the test statisti (a) =-2.80 (b) to=-1.75 (c) to- -2.54 (d) to =-2.05

2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of...

2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of n 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to 2.35 (b)o 3.55 (c) 2.00 (d) to 1.55
1. Suppose that we are testing Hor = po versus H : > Ho with a...

1. Suppose that we are testing Hor = po versus H : > Ho with a sample size of n = 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to = 2.35 (b) to = 3.55 (c) to = 1.55
Which of the following are NOT valid statistical hypotheses? Please select ALL correct answers. C. Ho:...

Which of the following are NOT valid statistical hypotheses? Please select ALL correct answers. C. Ho: μ = 20 D. Ha: p <0.21

Suppose that NoP(X5)6 and P(X 2):2 find P( 3< X < 4).

Suppose that NoP(X5)6 and P(X 2):2 find P( 3< X < 4).