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Select the correct definition of the p-value of a test from the answer choices below: The...
For each problem, select the correct response. (a) What is the P-value of a test of...
For each problem, select the correct response. (a) What is the P-value of a test of the null hypothesis? A. The probability the null hypothesis is false B. The probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed C. The probability the null hypothesis is true D. The probability, assuming the null hypothesis is true, that the test statistic will take a value at least as...
QUESTION 21 A p value is the probability of obtaining the value of the test statistic...
QUESTION 21 A p value is the probability of obtaining the value of the test statistic or more extreme, if the null hypothesis is true. a. True b. False QUESTION 18 Type I error occurs when a. you reject a false null hypothesis b. you reject a true null hypothesis c. you fail to reject a false null hypothesis d. you fail to reject a true null hypothesis QUESTION 19 Type II error occurs when a. you reject a false...
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...
Choose the correct definition of significance level from the list below. A significance level is Option...
Choose the correct definition of significance level from the
list below.
A significance level is
Option 1 and 5 are WRONG
Choose the correct definition of significance level from the list below A significance level is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. the minimum acceptable chance of making a type I error. O the probability that an event occurred as a result of a causative factor rather than by chance. the...
Please help with these 4 questions Check True/False: Q1- [0.5 point] A one-tail hypothesis test is...
Please help with these 4 questions
Check True/False: Q1- [0.5 point] A one-tail hypothesis test is used whenever the alternative hypothesis is express as = O True O False Q2-10.5 point) A two-tail hypothesis test is used when the alternative hypothesis is stated as or > with the rejection area on the same side as the inequality points. O True O False Q3- [0.5 point] If the p-value is greater than a, we do not reject the null hypothesis. Otherwise,...
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...
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...
Circle the right answer and if it is false, correct it. (a) Z test requires that...
Circle the right answer and if it is false, correct it. (a) Z test requires that you know the standard deviation of the sample. TRUE or FALSE (b) If we are using a t-test and we reject the null hypothesis, we can be sure that the population means are different. TRUE or FALSE (c) α is the level of Type II error that we can expect. (5pts) TRUE or FALSE (d) A F-distribution is skewed to the right. TRUE or...
Interpreting a P-value In each case, indicate whether the statement is a proper interpretation of what...
Interpreting a P-value In each case, indicate whether the statement is a proper interpretation of what a p-value measures. (a) The probability of making a Type II error, if the alternative hypothesis, Ha, is true. (b) The probability the null hypothesis, Ho, is true. (c) The probability that the alternative hypothesis, Ha, is true. (d) The probability of seeing data as extreme as the sample, when the null hypothesis, Ho, is true. (e) The probability of making a Type I...
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...
Choose the correct definition of significance level from the
list below.
A significance level is
Option 1 and 5 are WRONG
Choose the correct definition of significance level from the list below A significance level is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. the minimum acceptable chance of making a type I error. O the probability that an event occurred as a result of a causative factor rather than by chance. the...
Please help with these 4 questions
Check True/False: Q1- [0.5 point] A one-tail hypothesis test is used whenever the alternative hypothesis is express as = O True O False Q2-10.5 point) A two-tail hypothesis test is used when the alternative hypothesis is stated as or > with the rejection area on the same side as the inequality points. O True O False Q3- [0.5 point] If the p-value is greater than a, we do not reject the null hypothesis. Otherwise,...
Interpreting a P-value In each case, indicate whether the statement is a proper interpretation of what a p-value measures. (a) The probability of making a Type II error, if the alternative hypothesis, Ha, is true. (b) The probability the null hypothesis, Ho, is true. (c) The probability that the alternative hypothesis, Ha, is true. (d) The probability of seeing data as extreme as the sample, when the null hypothesis, Ho, is true. (e) The probability of making a Type I...
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...
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