Question

Consider a hypothesis test to decide whether the mean cost to community hospitals per patient per...

Consider a hypothesis test to decide whether the mean cost to community hospitals per patient per day in Ohio exceed the national mean. Answer the following questions.

a. " The mean cost to community hospitals per patient per day in Ohio does not exceed the national mean but the result of the sampling leads to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a

A. Type II error

B. correct decision

C. Type I error

b. " The mean cost to community hospitals per patient per day in Ohio exceeds the national mean but the result of the sampling does not lead to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a

A. Type I error

B. correct decision

C. Type II error

c. " The mean cost to community hospitals per patient per day in Ohio exceeds the national mean and the result of the sampling leads to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a

A. correct decision

B. Type II error

C. Type I error

d. " The mean cost to community hospitals per patient per day in Ohio does not exceed the national mean and the result of the sampling does not lead to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a

A. Type I error

B. correct decision

C. Type II error

Homework Answers

Answer #1

Let's write the null hypothesis ( H0 ) and the alternative hypothesis (H1 ) from the given claim.

a) If we reject the null hypothesis which is true on the basis of sample data then Type I error is occur.

Therefore correct choice of question ( a) is C ) Type I error.

b) If we fail to reject null hypothesis which is in actual false on the basis of sample data then Type II error occur.

Therefore correct choice of question ( b) is C ) Type II error.

c) Here we reject null hypothesis and so we accept the alternative hypothesis. So we find the correct decision from the sample data.

So correct choice of ( c ) is A ) Correct Decision.

d) Here the result of the sampling does not lead to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean. So we fail to reject the true null hypothesis. So there is no error in the decision.

SO correct choice is B) Correct decision.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A hypothesis test is completed and we have sufficient evidence that a certain population mean is...
A hypothesis test is completed and we have sufficient evidence that a certain population mean is more than 200. Suppose that in reality, the population mean is 200. Determine if a correct decision has been made. If an error has been made, indicate which type of error it is. The decision was incorrect; a Type II error has been committed. The decision is incorrect; a Type I error has been committed. Correct decision has been made. The decision was incorrect;...
We have a left tail one sample test for the population mean. Assume the null hypothesis...
We have a left tail one sample test for the population mean. Assume the null hypothesis is true. Use 4% for the significance level. The sample size is 27, the sample mean is 32.8, the sample standard deviation is 4.1, and the null mean is 35. The test result is (a) a correct decision (b) a Type I error (c) a Type II error 3. The test statistic value for the previous problem is
1. You have a two-tailed test. The t critical value is 2.36 and the test statistic...
1. You have a two-tailed test. The t critical value is 2.36 and the test statistic is 3.11. Assume the null hypothesis is true. The result is (a) Type I error (b) Type II error (c) Correct decision 2. You have a right-tailed test. The t critical value is 1.74 and the test statistic is 1.46. Assume the null hypothesis is true. The result is (a)Type I error (b) Type II error (c) Correct decision 3. You have a right-tailed...
The mean length of imprisonment for​ motor-vehicle theft offenders in this country is 21.521.5 months. A...
The mean length of imprisonment for​ motor-vehicle theft offenders in this country is 21.521.5 months. A hypothesis test is to be performed to decide whether the mean length of imprisonment in this city differs from the national mean. The null and alternative hypotheses are Upper H 0H0​: muμequals=21.521.5 ​months,  Upper H Subscript aHa​: muμnot equals≠21.521.5 months. A type I error would occur if in fact muμequals=21.521.5 ​months, but the results of the sampling fail to lead to the conclusion that...
Q1. Consider parts (a - d) in Question 1 above. The test statistic and corresponding p-value...
Q1. Consider parts (a - d) in Question 1 above. The test statistic and corresponding p-value are provided for each analysis below. For each analysis, assuming a significance level of 1%, provide a written conclusion in one to two complete sentences using the test results provided. a. Source: UK National General Practice Study of Epilepsy Setting: Test the claim that those patients with idiopathic/cryptogenic epilepsy have a lower average life expectancy than the UK general population. Results: Test statistic of...
A test of H0: μ = 60 versus H1: μ ≠ 60 is performed using a...
A test of H0: μ = 60 versus H1: μ ≠ 60 is performed using a significance level of 0.01. The P-value is 0.033. If the true value of μ is 53, does the conclusion result in a Type I error, a Type II error, or a correct decision?
Suppose a new production method will be implemented if a hypothesis test supports the conclusion that...
Suppose a new production method will be implemented if a hypothesis test supports the conclusion that the new method reduces the mean operating cost per hour. a. State the appropriate null and alternative hypotheses if the mean cost for the current production method is per hour. : - Select your answer -≥≤<>=≠ : - Select your answer -≥≤<>=≠ b. What is the Type I error in this situation? What are the consequences of making this error? Claiming - Select your...
A test of H 0 : µ = 19 versus H 1 : µ &lt; 19...
A test of H 0 : µ = 19 versus H 1 : µ &lt; 19 is performed using a significant level α = 0.01. The value of the test statistic z = -1.68 a. Is H 0 rejected? Explain. b. If the true value of µ =19, is the result of a type I error, a type II error, or a correct decision? c. If the true value of µ=0, is the result of a type I error, a...
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size...
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 125 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 we...
Conduct a test of the null hypothesis that the mean height for all students in the...
Conduct a test of the null hypothesis that the mean height for all students in the Census at School database is equal to 155 cm vs the alternative that the mean Height is greater than 155 cm. Use a significance level of 0.05. a. State the null and alternative hypotheses. Ho: m = 155 Ha: m > 155 b. Provide the Statcrunch output table. Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value Height 159.86 1.7311103 49 2.8074468...