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 a certain 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: (Tyne integers or decimals Do not round)

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…

Identify the type l error and the type II 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. 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%. B. 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 3= OC. 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%. D. 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%. Identify the type |I error. Choose the correct answer below. A. Fail to reject the null hypothesis that the percentage of college students who own cars is equal to 35% when the…

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

A newsletter publisher believes that over 62%62% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.020.02 level of significance, the advertiser decides to reject the null hypothesis.   What is the conclusion regarding the publisher's claim?