When conducting a hypothesis test for a given sample size, if
the probability of a Type I error decrease, the the
A. probability of incorrectly not rejecting the null hypothesis
decreases.
B. probability of incorrectly not rejecting the null hypothesis
increases.
C. probability of incorrectly rejecting the null hypothesis
increases.
D. probability of type II error decreases.
The correct answer is " B "
● If the probability of a Type I error decrease, the probability of incorrectly not rejecting the null hypothesis increases.
When conducting a hypothesis test for a given sample size, if the probability of a Type...
You take a random sample of size 30 and conduct a hypothesis test at the 5 % level of significance . If instead , you take a random sample of size 50 and conduct the same hypothesis test at the same 5 % level of significance , what can you say about the probability of a type I and type II error (all else being equal ) ? A. P (Type I errror ) decreases and P (Type II error...
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 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...
Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the level of significance is less than the p- value, the null hypothesis is rejected. (Ch10) True False Question 22 (4 points) Everything else being constant, increasing the sample size decreases the probability of committing a Type II error. (Ch10) True False The power of a statistical test is the probability of not rejecting the null hypothesis when it is true. (Ch10) True False Question...
a is .05 and N-25, the probability of rejecting the null hypothesis if the mull hypothesis is true is: a. .os b..95 c. 05/25 - 01 d..95/25 = .19 e. insufficient information to answer as the popu 4. The sampling distribution of the mean always has the same distribution of the raw scores. a. mean b. standard deviation c. skew d. a and b e. all of the above S. If the sample size on which a standard deviation is...
A p-value is the A.) probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed B.) probability of a Type II error C.) value of the test statistic D.) probability corresponding to the critical value(s) in a hypothesis test
For a given population with σ=10.5 lb. we want to test the null hypothesis μ=66.5 against the alternative hypothesis μ ≠66.5 on the basis of a random sample of size n=64. If the null hypothesis is rejected when x¯<64.6 lb. or x¯>68.8. a) (3 points) What is the probability of a type I error? b) (4 points) What is the probability of a type II error and the power of the test when in reality μ=67.0?
Which statement best describes the significance level of a hypothesis test? The probability of obtaining a sample under the assumption that the null hypothesis is true that is more unusual than the observed sample b. The probability of making a Type 1 error The probability of making a Type Il error. d. The probability of correctly rejecting the null hypothesis.
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As we have seen, conducting a hypothesis test based on a sample of data is not a fail-safe endeavor. As managers we need to weigh the pros and cons of each type of error. The movie theater manager wants to test whether showing old classics changes the average satisfaction rating of his customers. The null hypothesis is that there is no change. Describe what the type I and type II errors would be in the context of this problem. Which...