Read carefully and circle the correct answer. 1. Which of the following statemen

Question

Read carefully and circle the correct answer. 1. Which of the following statements are not true? A statistical hypothesis is a claim or assertion either about the value of a single parameter, about the values of several parameters, or about the form of an entire probability distribution. In any hypothesis-testing problem, there are two contradictory hypotheses under consideration. A test of hypothesis is a method for using sample data to decide whether the null hypothesis should be rejected. A type I error consists of not rejecting the null hypothesis Ho when Ho is false None of the above statements are true a. b. c. d. e. 2. In hypothesis-testing analysis, a type II error occurs only if a. b. c. d. the null hypothesis is rejected when it is true the null hypothesis is rejected when it is false the null hypothesis is not rejected when it is false the null hypothesis is not rejected when it is true 3. Which of the following statements are not generally true? a. A type I error is usually more serious than a type II error. b. A type II error is usually more serious than a type I error. c. A test with significance level a is one for which the type I error probability is controlled at the specified level When an experiment and a sample size are fixed, then decreasing the size of the rejection region to obtain a smaller value of a (probability of type I error) results in a larger value of B (probability of type II error) for any particular parameter value consistent with the alternative hypothesis Ha None of the above statements are true d. e. 4. Which of the following statements are not true? A P-value conveys much information about the strength of evidence against the null hypothesis Ho and allows an individual decision maker to draw a conclusion at any specified significance level ? . The P-value (or observed significance level) is the largest level of significance at which the null hypothesis Ho would be rejected when a specified test procedure is used on a given data set. If P-value ?, we reject Ho at level ? If P-value > ?, we do not reject Ho at level ? All of the above statements are not true a. b. C. d. e. 5. Which of the following statements are true? When the alternative hypothesis is Ha H Ho, the null hypothesis Ho should be rejected if c. When the alternative hypothesis is Ha Ho, the null hypothesis Ho should be rejected if d. x is too far to the right of ?0 is too far to either side of ?0 . All of the above statements are true None of the above statements are true e.

Explanation / Answer

1.
Option D
A type I error consists of rejecting the null hypothesis H0 when H0 is true.

2.
Option C

3.
Option A

4.
Option B. Singinficance level can be larger than p-value.

5.
Option D. All of the above statements are true

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