Assume that the null hypothesis is really TRUE. Under that condition, any difference in group means found in a well-designed test of the hypothesis must be due to

Passed Failed O White 15 17 Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.05 significance level. candidates Minority candidates 10 25 Determine the null and alternative hypotheses. O A. Ho: A white candidate is more likely to pass the test than a minority candidate. H,: A white candidate is not more likely to pass the test than a minority candidate. O B. Ho: White and minority candidates do not have the same chance of passing the test. H1: White and minority candidates have the same chance of passing the test. OC. Ho: White and minority candidates have the same chance of passing the test. H,: White and minority candidates do not have the same chance of passing the test. O D. Ho: A white candidate is not more likely to pass the test than a minority candidate. H1: A white candidate is more likely to pass the test than a minority candidate. Determine the…

Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.25 H₁: p>0.25 OB. Ho: p=0.25 H₁: p=0.25 O C. Ho-p=0.25 H₁: p<0.25 lete OD. Ho: p=0.25 H₁: p=0.25 Identify the test statistic for this hypothesis test.

7. Question: The power of a test is measured by its capability of: a. Accepting a null hypothesis that is true. b. Rejecting a null hypothesis that is true. c. Rejecting the alternative hypothesis that is false. d. Rejecting a null hypothesis that is false. e. None of the mentioned.

3)Given that the alternative hypothesis is true, a type II error could occur if: a.We fail to reject the null b.We incorrectly calculate the test statistic c.We reject the null d.We incorrectly calculate the p value

Some people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such people. She filled 84 plain white cups with soda, half diet and half regular through random assignment, and asked each person to take one sip from their cup and identify the soda as diet or regular. 51 participants correctly identified the soda.  Conduct and interpret a hypothesis test for the following question: are these people any better or worse at telling the difference between diet and regular soda than random guessing (correctly identify soda half of the time)?   HINT: what is your hypothesized proportion if you want to test if these participants are right or not half of the time?  Use a = .01 significance level. Solve Critical value:

Rejecting the null hypothesis when it is true is called a _____ error

When the null hypothesis is not rejected, it is O possible a Type I error has occurred. not possible a Type II error has occurred. possible a Type II error has occurred. O possible either a Type I or a Type II error has occurred.

Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.29 H,: p 0.29 О В. Но: р#0.29 H,:p=0.29 Ос. Но: р30.20 H4:p>0.29 O D. Ho:p=0.29 H:p<0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)

You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?