The test statistic of z=−2.07 is obtained when testing the claim that p<0.85. a. Using a significance level of α=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?
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A: Given, test statistic of z=−2.31 p=1/2 = 0.5
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- The test statistic of z = - 1.73 is obtained when testing the claim that p = 1/2. a. Using a significance level of a = 0.05, find the critical value(s). b. Should we reject H, or should we fail to reject H,?The test statistic of z = - 2.39 is obtained when testing the claim that p<0.12. a. Using a significance level of a = 0.10, find the critical value(s). b. Should we reject Ho or should we fail to reject H,?The test statistic of z=2.29 is obtained when testing the claim that p≠0.418. a. Find the P-value. Using a significance level of α=0.10, should we reject H0 or should we fail to reject H0? a. P-value=____(Round to three decimal places as needed.)
- The mean salary of federal government employees on the general schedule is $59,593. The average salary of 30 state employees who do the similar work is $ 58,800 with α =$1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees?Thomas is wanting to know if the amount of time students who got an A studied on their final last term is different than the typical 4 hours. To find out he surveys the students. His hypotheses are: H0:μ=4hr Ha:μ≠4hr He calcullates the average. His latest tesst statistic is 2.27, and his P-value is 0.0232. Using a significance level of α=5 Reject H0 μ is different than 4 hours. Accept Ha μ is not different than 4 hours. Fail to reject H0 μ is different than 4 hours. Accept Ha μ is different than 4 hours.Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.34, y=100.45, r=0.940, P-value=0.000, and y=−3.86+1.06x, where x represents the IQ score of the twin born second. Find the best-predicted value of y given that the twin born second has an IQ of 103? Use a significance level of 0.05.
- A random sample of n1 = 14 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 21. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a sample mean pollution index of x2 = 35. Previous studies show that ?2 = 17. Assume the pollution index is normally distributed in both Englewood and Denver. What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference ?1 − ?2. Round your answer to two decimal places.) (iii) Find (or estimate) the P-value. (Round your answer to four decimal places.) (b) Find a 99% confidence interval for ?1 − ?2. (Round your answers to two decimal places.)A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy score of a father. A random sample of 35 mothers gave a sample mean of x, = 69.38. Another random sample of 34 fathers gave x, = 57.34. Assume that o, = 11.27 and o, = 11.17. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - µz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? O Because the interval contains…The test statistic of z = -1.62 is obtained when testing the claim that p = 3/5. a. Using a significance level of α = 0.05, find the critical value(s). b. Should we reject Ho or should we fail to reject Ho?
- According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses: Ho: = 8.9 kg Ha:H< 8.9 kg (where u is the mean amount of CO2 emitted by burning one gallon of this new gasoline). Under which of the following conditions would the company commit a Type I error?A SSume that anxiety scores as measured by an anxiety assessment inventory are 2ormally distributed with u = 20 and o = 4. A sample of 4 patients who are undergoing treatment for anxiety is randomly selected, and their mean anxiety score X= 22. Is the average anxiety score from patients who are under treatment significantly different from 20? Assume a = .10.. Claim: The mean IQ score of statistics professors is greater than 118. Sample data N=50, x=120, assume that o =12 and the alpha is 0.05.