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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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It is a hypothesis which is tested for the purpose of rejection under the assumption that it is true.
A. Alternative hypothesis
B. Composite hypothesis
C. Null hypothesis
D. Statistical hypothesis
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- D. Whymight it be worse to make a Type 1 error in this scenario? E. Suppose that we fail to reject the null hypothesis. Wrote a conclusion statement in the context of the problem. Assume no errors were made.arrow_forwardGuilty or Innocent? In the U.S. court system, a defendant is assumed innocent until proven guilty. Suppose that you regard a court trial as a hypothesis test with null and alternative hypotheses H0: Defendant is innocentHa: Defendant is guilty. a. Explain the meaning of a Type I error.b. Explain the meaning of a Type II error.c. If you were the defendant, would you want a to be large or small? Explain your answer.If you were the prosecuting attorney, would you want ß to be large or small? Explain your answer.e. What are the consequences to the court system if you make a = 0? ß = 0?arrow_forwardWhen conducting a hypothesis test, we hope to avoid commiting a type 1 error, which is: 1. Not as bad as committing a type 2 error 2. rejecting a null hypothesis when it is true 3. rejecting the alternate hypothesis when it is true 4. accepting the null hypothesis when the alternate hypothesis is truearrow_forward
- I. Do the following:a. State the null and alternative hypotheses, identify which represents the claim,b. Determine when a type I or type II error occurs for a hypothesis test of the claim.c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning.d. Explain how you should interpret a decision that rejects the null hypothesis.e. Explain how you should interpret a decision that fails to reject the null hypothesis.ProblemAn agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days.II. Conduct a hypothesis testA research center claims that less than 50% of senior high school students in public schools in the Philippines have accessed the Internet using cellular phones. In a random sample of 100 SHS students, 39% say they have accessed the Internet using cellular phones. At = 0.01, is there enough evidence to support the researcher’s claim?arrow_forwardWhat are the null hypothesis (H) and the alternative hypothesis (H,) that should be used fo test? HoiH is ? H:p is ? v ? v v ? へ へ In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is ? v ? v. v ? v when, in fact, u is ? Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making? ?arrow_forwardSuppose that you want to perform a hypothesis test for a population mean, μ. a. Express the null hypothesis both in words and in symbolic form. b. Express each of the three possible alternative hypotheses in words and in symbolic form.arrow_forward
- A researchers claims 45% of couples have children. They conduct a hypothesis test and reject the null hypothesis. What type of error could have been committed here? Type 1, type 2, or power if the test?arrow_forwardA radio station states that 30% of the songs they play each week are from Canadian artists. A DJ working at the station claims that the actual percentage differs from what the station states. The DJ takes a random sample of 87 songs played during a given week and finds that 28 of them are from Canadian artists. Use this information to answer the questions below. a. Suppose the DJ wishes to perform a hypothesis test of his claim. Select the most appropriate null and alternative hypotheses for this hypothesis test. H0:p^≠0.3Ha:p^=0.3 H0:x―=0.3Ha:x―≠0.3 H0:μ≠0.3Ha:μ=0.3 H0:p=0.3Ha:p≠0.3 H0:μ=0.3Ha:μ≠0.3 H0:p≠0.3Ha:p=0.3 H0:p^=0.3Ha:p^≠0.3 H0:x―≠0.3Ha:x―=0.3 b. To assess his hypothesis, the DJ wants to compute a bootstrap-based confidence interval from his sample. Which of the following uses of the quantile() function would produce the correct interval bounds for a 96% bootstrap-based confidence interval? c(quantile(B$mean, 0.04), quantile(B$mean, 0.96)) c(quantile(B$mean, 0.02),…arrow_forward5. Conclusions True or false: In hypothesis testing, it is never valid to form a conclusion of supporting the null hypothesis.arrow_forward
- For the given hypothesis test, explain the meaning of the kind of error, as requested. A statistics student has heard that about 25% of the students on his campus attend sporting events weekly. He wants to know if statistics students attend events in the same proportions as the general student body. Explain what the second type of error would be in this case (where the student fails to reject a null hypothesis that is actually false). O A. The second kind of error would be saying that statistics students attend sporting events in much higher proportions than the student body as a whole, even though they actually have the same attendence proportion. B. The second kind of error would be saying that there is no difference in the attendence of statistics students and the student body as a whole at sporting events, even though there really is. O C. The second kind of error would be saying that there is no difference in the attendence of statistics students and the student body as a whole at…arrow_forwardWhen conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.arrow_forwardA type Il error A. arises when the false null hypothesis is not rejected. O B. is the rejection of a false null hypothesis. C. arises when the true null hypothesis is not rejected. D. is the rejection of a true null hypothesis.arrow_forward
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