Determine whether the following statements are true or false. If the statement is false, then explain why the statement is false or rewrite the statement so that it is true.
A Type I error in a hypothesis test occurs when we fail to reject the null hypothesis when the null hypothesis is actually false. A Type II error occurs when we reject the null hypothesis when the null hypothesis is actually true.
Determine whether the following statements are true or false. If the statement is false, then explain...
Question 2: Indicate whether each of the following statements is true or false and explain concisely why. 5. The null hypothesis is initially presumed to be true. If we reject it after a hypothesis test, it means we are certain the null hypothesis is false.
1. True or False: Detcrminc whether the following statements are true (T) or false F When the population standard deviation is known, a z-intcerval is used to calculase the confidence interval for the mean As the confidence level decreases, the wider the confidence interval becomes The best point estimate of the popalation mean is the sample mcan The probability of making a type I error is a and the probability of making a type II crror is B As a...
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 =...
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if His rejected when it is true. • A type II error occurs if H, is reject ed when it is true, • The power of a test is the probability of failing to reject H, when it is false,
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....
6. Which of the following statements about hypothesis testing are true? • A type I error occurs if H, is rejected when it is true. • A type II error occurs if He is rejected when it is true. • The power of a test is the probability of failing to reject H, when it is false.
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...
QUESTION 1 A type Il error occurs if we fail to reject the null hypothesis when it is false. True False QUESTION 2
Question 2: Indicate whether each of the following statements is true or false and explain concisely why. 1. The Frisch-Waugh-Lovell theorem states that in a multiple linear re- gression Y = Bo + B1X1 + B2X2 + B3X3 + X4 +U, the estimate B1 we get for B1 is what we would have obtained by regressing Y on the part of Xị that has nothing to do with X2, X3, X4, and U. 2 2. In a OLS output ý=.5+1.2log(0),...
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.