Suppose we are testing Ho: p=.20 vs Ha: p<.20 and TS=2.34. What is the p-value? 0.0096...

Question

Question

Suppose we are testing Ho: p=.20 vs Ha: p<.20 and TS=2.34. What is the p-value?

0.0096

0.9904

0.0107

0.0192

0.9893

0.0214

Answer 1

Answer #1

Solution :

This is the left tailed test .

The null and alternative hypothesis is

H₀ : p = 0.20

H_a : p < 0.20

Test statistic = z = 2.34

P(z > 2.34) = 1 - P(z < 2.34) = 1 - 0.9904

P-value = 0.0096

Answer 2

Similar Homework Help Questions

Suppose that we are testing Ho: vs. Ha: at the .05 level and we are going...

Suppose that we are testing Ho: vs. Ha: at the .05 level and we are going to collect 10 pieces of data and . Determine the probability of Type II error for the alternative .
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...
Suppose we to test H0: η = 4.5 vs. Ha: η< 4.5, where η is the...

Suppose we to test H0: η = 4.5 vs. Ha: η< 4.5, where η is the population median. Among n= 10 observations, let S be the number of the measurements which are larger than 4.5. Under H0, S follows a binomial(n= 10,p = 0.5). 1) Which of the following sample results gives the strongest evidence to support Ha? a. S=4 b. S=5 c. S=6 d. They are all the same 2) Following the problem, suppose S = 1, what is...

Suppose we are testing the null hypothesis Ho: mu = 20 and the alternative Ha: mu...

Suppose we are testing the null hypothesis Ho: mu = 20 and the alternative Ha: mu does not equal 20, for a normal population with sigma = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is X bar = 17.6. The P-value is closest to (A) 0.0164 (B) 0.0668 (C) 0.1336 (D) 0.0082
Suppose that you are testing the hypotheses Ho: p= 0.20 vs. HA, p 0.20. A sample...

Suppose that you are testing the hypotheses Ho: p= 0.20 vs. HA, p 0.20. A sample of size 250 results in a sample proportion of 0.27 a) Construct a 95% confidence interval for p. b) Based on the confidence interval, can you reject Ho at a 0.05? Explain c) What is the difference between the standard error and standard deviation of the sample proportion? d) Which is used in computing the confidence interval? a) The 95% confidence interval for p...
5. Consider testing the hypothesis Ho : p = 0.5 vs. Ha : pメ0.5 using two...

5. Consider testing the hypothesis Ho : p = 0.5 vs. Ha : pメ0.5 using two tests, both at the same level of significance. The first test, Tl, requires a sample of size 45 while the second test, T2, requires a sample of size 100 for their power functions to be equal at the particular alternative p 0.3. What is the efficiency of T2 relative to T1? Ffficiency (ARE) of test Tı relative to test T2 is 0.3 and the

need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16....

need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...
2. Suppose that we are testing Ho: determine our Data Test Statistic is 25 vs. Hou...

2. Suppose that we are testing Ho: determine our Data Test Statistic is 25 vs. Hou 25 at the a=.05 level. We use our 15 pieces of data to 1.984. What is our conclusion?
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....

6. Testing Ho : p = 0.75 versus Ha : p > 0.75 when the sample...

6. Testing Ho : p = 0.75 versus Ha : p > 0.75 when the sample has n = 20, ˆp = 0.50. (a) Verify that the sample size is large (b) Find the standard error for ˆp (c) Find the value of the standardized z-test statistic