For students who first enrolled in two year public institutions in a recent semester, the proportion who earned a bachelor's degree within six years was 0.397. The president of acertain college believes that the proportion of students who enroll in her institution have a lower completion rate.(a) Determine the null and alternative hypotheses.(b) Explain what it would mean to make a Type I error.(c) Explain what it would mean to make a Type II error.(a) State the hypotheses.Ho:H₁:(Type integers or decimals. Do not round.)

(a) State the hypotheses. There is no evidence to conclude that the proportion of students who…

Answered: For students who first enrolled in two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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While testing a hypothesis, we can do either Type I error, or Type II error, but not both of them. Select one: a. True b. False
The mean salary for a new teacher in your town is $51,000. You believe it is lower for new teachers in a neighboring town. State the null and alternative hypotheses.
Past studies have indicated that the percentage of smokers is estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0: _______ H1: _______ b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed
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Identify the type I error and the type Il error that correspond to the given hypothesis. The percentage of college students who own cars is equal to 35%. Identify the type I error. Choose the correct answer below. O A. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually equal to 35%. O B. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to 35% when the percentage is actually equal to 35%. O C. Reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually different from 35%. O D. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to 35% when that percentage is actually different from 35%. Identify the type Il error. Choose the correct answer below. O A. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to…
An organization surveyed 536 high school seniors from a certain country and found that 284 believed they would not have enough money to live comfortably in college. The folks at the organization want to know if this represents sufficient evidence to conclude a majority (more than 50%) of high school seniors in the country believe they will not have enough money in college. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, compute the probability of making a Type II error, ß, if the true population proportion is 0.55. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.58. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. O A. Ho is rejected and the true proportion of high school seniors who believe they will not have enough money in college is greater than 0.50. O B. Ho is not rejected and the true…
(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Ho: = μ 56 H₁: μ > 56 (Type integers or decimals. Do not round.) (b) A sample of 884 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. B. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. D. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of adults who use the internet is greater than 0.27. Which of the following is a type I error? O A. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. O B. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually different from 0.27. O C. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually different from 0.27. O D. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. Which of the following is a type II error? O A. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. O B. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is…
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USA 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 1007 Chevrolet owners and found that 482 said they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal Chevrolet is more than 47%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.47; H,: p 0.47 O Ho: p > 0.47; H,: p = 0.47 O Ho: p = 0.47; H1: p + 0.47 (b) What sampling distribution will you use? O The Student's t, since np 5 and ng > 5. O The standard normal, since np 5 and ng > 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 decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.
The Census Bureau's American Housing Survey has reported that 76 percent of families choose their house location based on the school district. You want to conduct a test of whether the population proportion really equals 0.76. Use a 0.10 level of significance and a sample of 440. The proportion of families in your sample that choose their home based on the school district was 0.78. a. State in statistical terms the null and alternative hypotheses. (2 points) b. Determine the appropriate test statistic. (z or t) (2 points) c. Determine the critical values. (2 points) d. Compute the test statistic. (2 points) e. Make a decision on the hypotheses. (which hypothesis is correct?) (2 points)
A newsletter publisher believes that 29% of their readers own a laptop. Is there sufficient evidence at the 0.05 level to refute the publisher's claim? State the null and alternative hypothesis for the above scenario

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