Which of the following will increase the power of a significance test? (A) Increase the Type...
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.
Homework Answers
Solution :
Increase the significance level alpha will increase the power of a significance test .
Option B) is correct .
Add Answer to:
Which of the following will increase the power of a significance
test?
(A) Increase the Type...
1. Which of the following will increase the value of the power in a statistical test...
1. Which of the following will increase the value of the power in a statistical test of hypotheses? (a) Increase the Type II error probability. (b) Increase the sample size. (c) Reject the null hypothesis only if the P-value is smaller than the level of significance. (d) All of the above 2. A significance test gives a P-value of 0.023. This means that the result is statistically significant at (a) both the 0.01 and the 0.05 levels. (b) neither the...
Which of the following statements is FALSE? a.) The power of a hypothesis test is the...
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.
1. a) For a test at a fixed significance level, and with given null and alternative...
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...
α is the probability of a Type I error, which occurs when we accept the alternative...
α is the probability of a Type I error, which occurs when we accept the alternative H1 when the null hypothesis Ho is true. True False A Type II error occurs when when a false null hypothesis is rejected. True False If a null hypothesis is rejected at the 5% significance level but not at the 1% significance level, then the p-value of the test is less than 1%. True False The power of a test is the probability of...
Select the correct definition of the p-value of a test from the answer choices below: The...
Select the correct definition of the p-value of a test from the answer choices below: The probability that the null hypothesis is true The probability that, assuming the null hypothesis is true, we obtained a test statistic as or more extreme than what we calculated The probability that, assuming the alternative hypothesis is true, we obtained a test statistic as or more extreme than what we calculated The probability that the alternative hypothesis is false, given that the null hypothesis...
1. Which of the following statements are not generally true? a. A type I error is...
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...
In order to test whether a certain coin is fair, it is tossed ten times and...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 ag...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
(3 points) Suppose that you're going to do a test of significance with null hypothesis 30...
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Select the correct definition of the p-value of a test from the answer choices below: The probability that the null hypothesis is true The probability that, assuming the null hypothesis is true, we obtained a test statistic as or more extreme than what we calculated The probability that, assuming the alternative hypothesis is true, we obtained a test statistic as or more extreme than what we calculated The probability that the alternative hypothesis is false, given that the null hypothesis...
(3 points) Suppose that you're going to do a test of significance with null hypothesis 30 and alternative hypothesis 30 You take a sample of size 88 and compute the sample mean I assume that the population standard deviation of the variable is o 7.1 and that the sampling distribution of the sample mean is normal a if you carry a hypothesis test with significance level 05, what values of will cause us to reject the null hypothesis in favor...
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