Question

Suppose we wish to test H0:p≤0.3H0:p≤0.3 vs HA:p>0.3HA:p>0.3 where pp is a binomial parameter. If XX...

Suppose we wish to test H0:p≤0.3H0:p≤0.3 vs HA:p>0.3HA:p>0.3 where pp is a binomial parameter. If XX represents the number of successes in 8080 trials, and the null hypothesis is rejected whenever X≥30X≥30, calculate:

a) αα, the probability of type I error.

b) ββ, the probability of type II error when pp = 0.380.38, and the power of the test.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
We are testing the hypothesis H0:p=.75 Ha:p<.75 for the # the proportion of people who find...
We are testing the hypothesis H0:p=.75 Ha:p<.75 for the # the proportion of people who find an enrollment website “easy to use.” The test will be based on a simple random sample of size 400 and at a 1% level of significance. Recall that the sample proportion vary with mean p and standard deviation = sqroot( p(1-p)/n) You shall reject the null hypothesis if The P_value of the test is less than 0.01 a) Find the probability of a type...
For the following hypothesis test, where H0: μ ≤ 10; vs. HA: μ > 10, we...
For the following hypothesis test, where H0: μ ≤ 10; vs. HA: μ > 10, we reject H0 at level of significance α and conclude that the true mean is greater than 10, when the true mean is really 14. Based on this information, we can state that we have: Made a Type I error. Made a Type II error. Made a correct decision. Increased the power of the test.
7. You wish to test the following at a significance level of α=0.05α=0.05.       H0:p=0.85H0:p=0.85       H1:p>0.85H1:p>0.85 You...
7. You wish to test the following at a significance level of α=0.05α=0.05.       H0:p=0.85H0:p=0.85       H1:p>0.85H1:p>0.85 You obtain a sample of size n=250n=250 in which there are 225 successful observations. For this test, we use the normal distribution as an approximation for the binomial distribution. For this sample... The test statistic (zz) for the data =  (Please show your answer to three decimal places.) The p-value for the sample =  (Please show your answer to four decimal places.) The p-value is... greater than...
Suppose that X1, X2, X3, X4 are iid N(θ,4). We wish to test H0: θ =...
Suppose that X1, X2, X3, X4 are iid N(θ,4). We wish to test H0: θ = 2 vs H1: θ = 5. Consider the following tests: Test 1: Reject H0 iff X1 > 4.7 Test 1: Reject H0 iff 1/3(X1 + 2X2) > 4.5 Test 3: Reject H0 iff 1/2(X1 + X3) > 4.2 Test 4: Reject H0 iff x̄>4.1 (xbar > 4.1) Find Type 1 and Type 2 error probabilities for each test and compare the tests.
1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is...
1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What is the value of α, i.e., maximum probability of Type I error? A. 0.90 B. 0.10 C. 0.05 D. 0.01 2. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What...
10. For a particular scenario, we wish to test the hypothesis H0 : p = 0.52....
10. For a particular scenario, we wish to test the hypothesis H0 : p = 0.52. For a sample of size 50, the sample proportion p̂ is 0.42. Compute the value of the test statistic zobs. (Express your answer as a decimal rounded to two decimal places.) 4. For a hypothesis test of H0 : μ = 8 vs. H0 : μ > 8, the sample mean of the data is computed to be 8.24. The population standard deviation is...
1) Suppose we to test (H0: η= 4.5 vs. Ha: η<4.5), where η is the population...
1) 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). 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 same. 2) Follow Problem 1. Suppose S...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT