MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Which of the following is an example of a Type 1 error?
Rejecting a false null hypothesis.
Rejecting a true null hypothesis.
Failing to reject a false null hypothesis.
Failing to reject a true null hypothesis.
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- One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score, µ, among the general population on this subsection. The website reports that u is 142, but you believe that u differs from 142. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 148 and that the standard deviation of their scores is 22. Based on this information, answer the questions below.arrow_forwardA Type I error is: Select one: incorrectly specifying the null hypothesis. accepting the null hypothesis when it is false. rejecting the null hypothesis when it is true. incorrectly specifying the alternative hypothesis.arrow_forwardA man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent. This situation can be modeled as a hypothesis test with the following hypotheses: Explain the meaning of a Type I error.arrow_forward
- 23arrow_forwardA Type II error is defined as a. rejecting a null hypothesis when it is in fact true b. failing to reject a false null hypothesis c. rejecting a false null hypothesis d. failing to reject a true null hypothesisarrow_forwardWhich of the following relates to the rejection of the null hypothesis when it is actually true? 1. Type I error2. Type II error 3. Power 4. Statistical significancearrow_forward
- You complete a hypothesis test using α = .05, and based on the evidence from the sample, your decision is to fail to reject the null hypothesis. If the treatment actually does NOT have an effect, which of the following is true? Group of answer choices You have made a Type II error. You have made the correct decision. You might have made a Type I error, but the probability is only 5% at most. You have made a Type I error.arrow_forwardOn Monday, Philip rejected a null hypothesis that was true. On Tuesday, he retained a true null hypothesis. What kind of week is he having? o.k. – he made a Type I error on Monday and a correct decision on Tuesday bad – he is confounded and his power level is too low bad – he made a Type I error on Monday and a Type II error on Tuesday bad – he made a Type II error on Monday and a Type I error on Tuesdayarrow_forwardA medical researcher claims that 70% of people pay for prescriptions with private insurance, 25% pay with Medicare, and the remaining pay with personal funds. To evaluate this claim, a random sample of 50 people was taken. The sample had the following results: Private Insurance Medicare Personal 32 10 8 What is the null hypothesis for the test? Enter the null hypothesis in the first blank. You do NOT need to enter the alternative hypothesis. Calculate the test statistic for the test and enter it in the second blank. Round your final answer to three decimals. Find the critical value cutoff for the rejection region and enter it in the third blank. Use alpha = 0.005.arrow_forward
- Which of the following statements are TRUE? I. Increasing the significance level of a test will increase the chance of erroneously rejecting a true null hypothesis. II. Increasing the significance level of a test will increase the chance of erroneously failing to reject a false null hypothesis. Only statement I is true. Neither statement is true. Only statement II is true. Both statements are true.arrow_forwardRetaining a false null hypothesis, which type of error it is?arrow_forwardspam. You've heard that at least 65% of the email you recieve through a certain email account is marked You suspect this is incorrect, so you keep track of the emails you receive on that account for the next week. In that time, you received 57 emails and 29 of them were marked as spam. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): p? P? V To test our hypothesis, we will assume that p = Is the success-failure condition of the Central Limit Theorem satisfied? O No. Either np a. O No. The result is not significant because the p-value isarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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