Which of the following statements is FALSE?
A larger sample size would increase the effectiveness of a hypothesis test.
Alpha (α) is equal to the probability of making a Type I error.
Expanding the sample size can increase the power of a hypothesis test.
Reducing the significance level (α) can increase a test's effectiveness.
Answer: D) Reducing the significance level (α) can increase a test's effectiveness.
Explanation: Reducing the significance level (α) cannot increase a test's effectiveness.
Which of the following statements is FALSE? A.) A larger sample size would increase the effectiveness...
Which of the following statements is FALSE? a.) The power of a hypothesis test is the probability of not making a Type II error. b.) Alpha (α) is equal to the probability of making a Type I error. c.) The probability of rejecting the null hypothesis when the null hypothesis is true is called a Type I Error. d.) A smaller sample size would increase the effectiveness of a hypothesis test.
Which of the following will increase the power of a significance test? (A) Increase the Type II Error probability (B) Increase the significance level alpha (C) Select a value for the alternative hypothesis closer to the value of the null hypothesis (D) Decrease the sample size. (E) Reject the null hypothesis only if the P-value is smaller than the level of significance.
State whether the following statements true or false, and Why? 1. The type I error and type II error are related. A decrease in the probability of one generally results in an increase in the probability of the other. 2. The size of the critical region, and therefore the probability of committing a type I error, can always be reduced by adjusting the critical value(s). 3. An increase in the sample size n will reduce α and β simultaneously. 4....
Determine if the following statements are true or false, and explain your reasoning. If false, state how it could be corrected. (a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. O true false (b) Decreasing the significance level (a) will increase the probability of making a Type 1 Error. false O true (c) Suppose the null hypothesis is u =...
true or false 11. When the level of confidence and the sample size remain the same, a confidence interval for a population mean y will be narrower, when the sample standard deviation s is smaller than when s is larger. Chapter 10 12. The closer is the hypothesized mean is from the actual mean the higher is the power of the test. 13. The manager of the quality department for a tire manufacturing company wants to know the average tensile...
1. a) For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? b) For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the significance level was changed from 5% to 1%. c) A test of a given null hypothesis against a given alternative...
multiple choice: 4) The sampling distribution of x̅1-x̅2 has a mean value equal to . a. 0 b. μ1-μ2 c. N d. Sx̅1- x̅2 True-false questions 5) If we reject H0 one can say the experimental results are significant. 6) By making alpha smaller we can decrease the probability of making a Type I error. 7) As the probability of making a Type I error goes down by making α more stringent, the probability of making a Type II error...
1. 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 is one for which the type I error probability is controlled at the specified level. d. When an experiment and a sample size are fixed, then decreasing the size of the rejection region to obtain...
True or False. (Determining sample size n for the purpose of estimating mean) For a specified sampling error (SE) and given population standard deviation, increase in the confidence level (1-alpha) will lead to a larger sample sizen. True False True or False The smaller the p-value associated with a test of hypothesis, the stronger the support for the research hypothesis. True False
1. In testing hypotheses, the researcher initially assumes that the alternative hypothesis is true and uses the sample data to reject it. True False 2. The first step in testing a hypothesis is to establish a true null hypothesis and a false alternative hypothesis. True False 6. The power curve provides the probability of Correctly accepting the null hypothesis Incorrectly accepting the null hypothesis Correctly rejecting the alternative hypothesis Correctly rejecting the null hypothesis 7. Suppose that Ho: μ ≤...