We know that,
Type I error : Rejecting Ho when Ho is true.
Type II error : Accepting Ho when Ho is false.
For given problem,
You have accepted Ho when in fact it is false.
So ypu have made a type II error.
option (c) is correct.
8. You want to test Ho: p=0.6 vs. Ha: p=0.6 using a test of hypothesis. If...
For the following hypothesis test, where Ho S 10. vs. Hau > 10, we reject Ho at level of significance a and conclude that the true mean is greater than 10, when the true mean is really 8. Based on this information, we can state that we have O made a Type I error. O made a Type Il error. O made a correct decision increased the power of the test.
Question 8 (1 point) A test is made of Ho: mean = 119 versus Hy: mean < 119. The true value of the mean is 103, and Ho is rejected. Is this a Type I error, Type II error, or a correct decision? O Correct decision Type Il error Type I error Question 9 (1 point) A test is made of Ho: mean = 0.94 versus H: mean > 0.94. The true value of the mean is 0.94, and Ho...
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...
You conduct the following hypothesis test for one categorical variable: Ho: p >= 0.4 vs. Ha: p < 0.4. Which of the following z test statistic values has a better chance of rejecting the null hypothesis (Ho:) and why? z = -2.15 OR z =-2.00
Given. Ho:p28, Ha: p<.8, n= 19, Reject Ho if X 12 (a) Find the level of significance α. (b) Find β(pl) if in fact p-5. (c) Find the power against the alternative p-.5. (d) Suppose that X is observed to be xo-14 (i) What is your decision? (ii) What type of error are you subject to? (iii) Find the P-value. (e) Set up a rejection region so that α is as close as possible to, but does not exceed.01. State...
Suppose that we wish to test the null hypothesis Ho that the proportion p of ledger sheets with errors is equal to .05 versus the alternative Ha , that the proportion is larger than .05, by using the following scheme. Two ledger sheets are selected at random. If both are error free, we reject Ho. If one or more contains an error, we look at a third sheet. If the third sheet is error free, we reject Ho. In all...
{Exercise 9.09 (Algorithmic).} Consider the following hypothesis test: Ho: u 20 Ha: p < 20 A sample of 40 provided a sample mean of 19.6. The population standard deviation is 1.8. a. Compute the value of the test statistic (to 2 decimals). -1.64 b. What is the p-value (to 3 decimals)? -1.757 X c. Using a = .05, can it be concluded that the population mean is less than 20? No d. Using a = .05, what is the critical...
Truth p ~ Two samples are drawn to test the hypothesis, Ho : p = 0.5 vs HA: p < 0.5. Both samples have the same size ni = n2 = 123. However, the samples yield different sample proportions. Consider the statement: Both samples will produce the same p-value for the hypothesis test above. Is this statement always true, sometimes true or never true?
Question 6 (1 point) A test is made of Ho: mean = 27 versus Hi: mean < 27. The true value of the mean is 27, and Ho is rejected. Is this a Type I error, Type II error, or a correct decision? Type I error Type II error Correct decision O Question 7 (1 point) A test is made of Ho: mean = 71 versus Hii mean < 71. The true value of the mean is 35, and Ho...
QUESTION 10 A test of Ho. u = 53 versus Hi: u<53 is performed using a significance level of a = 0.01 . The P-value is 0.046. If the true value of u is 46, does the conclusion result in a Type I error, a Type II error, or a correct decision? Type I error Correct decision OType II error