Homework Answers
As probability of type I error increases the probability of type II error decreases & vice versa.
i.e The probability of type II error decreases as we increase the significance level.
##Answer:: P(type II error) decreases.
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Question 1 1 pts In classical hypothesis testing, what happens to the probability of Type II...
You take a random sample of size 30 and conduct a hypothesis test at the 5...
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...
answer please can simplify process You take a random sample of size 30 and conduct a...
answer please can simplify process
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 Il error (all else being equal)? O A. P(Type I error) stays the same and P(Type Il error) increases B....
Which of the following is a TRUE statement about hypothesis testing? The probability of a Type...
Which of the following is a TRUE statement about hypothesis testing? The probability of a Type I error plus the probability of a Type II error always equals one. The power of a test concerns its ability to detect a null hypothesis. If there is sufficient evidence to reject a null hypothesis at the 5% level, then there is sufficient evidence to reject it at the 10% level. Whether to use a one-sided or a two-sided test is typically decided...
Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the...
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...
Question 29 1 pts If a test of hypothesis is conducted at a 0.05 level of...
Question 29 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The conclusion is: Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Question 30 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The potential type of statistical error is: Type Il error Type...
When conducting a hypothesis test for a given sample size, if the probability of a Type...
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.
1. In hypothesis testing, the hypothesis that is assumed to be true for the purpose of...
1. In hypothesis testing, the hypothesis that is assumed to be true for the purpose of testing is called the hypothesis 2. (Circle the correct response) In hypothesis testing, critical values used to make a rejection decision regarding the null hypothesis are determined by the nature of the hypothesis test (two-tail vs. one-tail) and the d. significance level a. sample size b. population parameter c. target value 3. (Circle the correct response) In the process of hypothesis testing, the test...
1. Suppose that you are testing the following hypotheses: ?0: ? = 10 and ?1: ?...
1. Suppose that you are testing the following hypotheses: ?0: ? = 10 and ?1: ? > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a.) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10 b.) 9 ≤ ? ≤ 13 c.) No statement can be made d.) The lower bound of a 95% one-sided confidence interval on...
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...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 sus 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If...
answer please can simplify process
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 Il error (all else being equal)? O A. P(Type I error) stays the same and P(Type Il error) increases B....
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...
Question 29 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The conclusion is: Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Question 30 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The potential type of statistical error is: Type Il error Type...
1. In hypothesis testing, the hypothesis that is assumed to be true for the purpose of testing is called the hypothesis 2. (Circle the correct response) In hypothesis testing, critical values used to make a rejection decision regarding the null hypothesis are determined by the nature of the hypothesis test (two-tail vs. one-tail) and the d. significance level a. sample size b. population parameter c. target value 3. (Circle the correct response) In the process of hypothesis testing, the test...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 sus 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If...
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