What is the probability of a Type Il error when a hypothesis test is being conducted at the 10% significance level (a=0 10)? O 0.05
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- A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.78, and computes the standard deviation of the sample to be $1.20. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H₁ that should be used for the test? H₂ : O H₁ :0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.08. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) when, in…Suppose 300 subjects are treated with a drug that is used to treat pain and 78 of them developed nausea. Use a 0.05 significance level to test the claim that more than 204% of users develop nausea.The test statistic for this hypothesis test is .(Round to two decimal places as needed.)The P-value for this hypothesis test isTest the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho p≥ 0.6 Ho:μ ≤ 2.4 Ho:p ≤ 0.6 H₁ p 2.4 H₁:p > 0.6 Ho:. :p= 0.6 Ho:} > 2.4 Ho: = 2.4 H₁:p‡ 0.6 H₁:μ< 2.4 H₁:µ ‡ 2.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.41 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
- You wish to test the following claim (Ha) at a significance level of a = 0.02. H.: P1 - P2 = 0 H.:P1 - P2help 14a particular hypothesis test is left-tailed, and the area to the left of the test statistic is 0.20. what is the p-value?Test the claim that the proportion of men who own cats is larger than 50% at the .025 significance level. The null and alternative hypothesis would be: Ho p= 0.5 Ho: μ = Ho : μ Ho: p = 0.5 o H₁ μ> H₁ μ‡ H₁: p 0.5 : Ho p= 0.5 H₁ μ = H₁ p0.5 H₁:μ< The test is: right-tailed left-tailed two-tailed Based on a sample of 65 men, The test statistic is: z = (to 2 decimals) The critical value is ZC =1.95996. Thus the test statistic (is critical region. 4265 Based on this we: of the men owned cats Fail to reject the null hypothesis Reject the null hypothesis in theUSA 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.random sample of 25 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the population standard deviation to complete the exam was 10.4 minutes. The 99% confidence interval around this sample mean isWhat is the population of interest? And what are the hypotheses?When conducting a significance test in practice, how should you choose the alpha level? a) Always use alpha=0.05 since it's the most appropriate for every situation. b) Always use alpha=0.05 since it's the most commonly used one. c) Use a larger alpha when the consequences of mistakenly rejecting the null hypothesis are more serious. d) Use a smaller alpha when the consequences of mistakenly rejecting the null hypothesis are more serious.A union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.16, and there is good reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.43, and computes the standard deviation of the sample to be $1.25. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 OSO H :0 D=0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.16. Fill in the blanks to describe a Type I error. A Type I error would be the hypothesis that…
