If you have do not have enough evidence to reject the null hypothesis at the 5% significance level using the critical value method, you will not have enough evidence to reject at the 10% significance level. True False
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- Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up rejecting the null hypothesis in error. True FalseUSA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1008 Chevrolet owners and found that 487 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p > 0.47; H1: p = 0.47H0: p = 0.47; H1: p ≠ 0.47 H0: p = 0.47; H1: p < 0.47H0: p = 0.47; H1: p > 0.47 (b) What sampling distribution will you use? The standard normal, since np < 5 and nq < 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.)(c) Find the P-value of the test statistic. (Round your answer to four…An institute conducted a clinical trial of its methods for gender selection. The results showed that 187 of 338 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.01 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? OA. Ho:p>0.5 H₁: p=0.5 OC. Ho: p=0.5 H₁: p20.5 B. Ho: p=0.5 H₁: p > 0.5 D. Ho: p=0.5 H₁: p=0.5 Find the test statistic. Test statistic = (Round to two decimal places as needed.)
- Is there a relationship between the number of votes received by candidates for public office and the amount spent on their campaigns? Candidate Amount spent (000) Votes received (000)Weber $3 14Taite $4 7Spencer $2 5Lopez $5 12 Using a 0.01 significance level, do the formal hypothesis test (using critical values).Remember to show your steps (including all relevant information) please show the steps on how to solve it. ( no excel please)I need help with this one please. Thank you!!A student performs a test of Ho p = 0.75 versus H, p<0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct. Incorrect
- If a hypothesis is rejected at significance level α = 0.01, is it possible that the hypothesis is not rejected if the same test was done at significance level α = 0.05 (with everything else staying the same)?An institute conducted a clinical trial of its methods for gender selection. The results showed that 153 of 276 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy. Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? O A. Ho: p=0.5 H₂₁: p20.5 O C. Ho: p=0.5 H₁: p=0.5 O B. Ho:p>0.5 H₁: p=0.5 O D. Ho: p=0.5 H₁: p > 0.5 Find the test statistic. Test statistic = Find the P-value. P-value = (Round to four decimal places as needed.) Determine the proper conclusion. Choose the correct answers below. Since the P-value is (Round to two decimal places as needed.) than the significance level, evidence that the method used is effective in increasing the likelihood of a boy. the null hypothesis. There isYou are conducting a hypothesis test where alternative (research) hypothesis is that mu is greater than 850. You are testing at the 0.01 significance level. You take a sample of size 64 and calculate your test statistic to be -1.50. What would your test statistic be if you were testing, instead, at the 0.10 significance level?
- Prof. Johnson conducts a hypothesis test on whether the proportion of all UBC students who bike to school (denoted as p) equals 30%. Specifically, Prof.Johnson has H0:p=0.3 versus HA:p≠0.3. He obtains a P-value of 0.01. On the other hand, Prof. Smith would like to test if there is sufficient evidence to support that p is greater than 0.3 at the 10% significance level. Based on Prof. Johnson's result, will the null hypothesis of Prof. Smith's test be rejected? A. There is insufficient information to tell.B. Yes.C. No.Suppose a hypothesis test will be used to investigate whether the proportion of United States adults who have been a victim of a cybercrime, such as identity theft, is greater than 0.25. Suppose that the hypothesis test is conducted using a significance level of 0.05 and the power of the test is determined for a specific alternative value using the significance level of 0.05. If the significance level of the hypothesis test is changed to 0.01 and the power of the test is computed for the same alternative value using a significance level of 0.01, which of the following best describes the change(s) to the probability of a Type I error and the power of the test? (A) The probability of a Type I error would decrease, and the power of the test would stay the same. (B) The probability of a Type I error would decrease, and the power of the test would increase. (C) The probability of a Type I error would decrease, and the power of the test would decrease. (D) The probability of a Type I error…A student performs a test of Ho p = 0.75 versus H, p < 0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: 'Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Becaus the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct.