# Question

Suppose that, in a hypothesis test, the null hypothesis is in fact false.

a. Is it possible to make a Type I error? Explain your answer.

b. Is it possible to make a Type II error? Explain your answer.

a. Is it possible to make a Type I error? Explain your answer.

b. Is it possible to make a Type II error? Explain your answer.

## Answer to relevant Questions

Identify the two types of incorrect decisions in a hypothesis test. For each incorrect decision, what symbol is used to represent the probability of making that type of error? Refer to Exercise 9.8. Explain what each of the following would mean. a. Type I error b. Type II error c. Correct decision Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null ...Suppose that you are performing a statistical test to decide whether a nuclear reactor should be approved for use. Further suppose that failing to reject the null hypothesis corresponds to approval. What property would you ...a. Rejection region. b. Nonrejection region. c. Critical value(s). d. Significance level. e. Construct a graph similar to that in Fig 9.2 on page 350 that depicts your results from parts (a)–(d). f. Identify the hypothesis ...Explain how the P-value is obtained for a one-mean z-test in case the hypothesis test is a. Left tailed. b. Right tailed. c. Two tailed.Post your question

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