(07.01 MC)
A t statistic was used to conduct a test of the null hypothesis H0: µ = 2 against the alternative Ha: µ ≠ 2, with a p-value equal to 0.067. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 2? (4 points)
A. A 90% confidence level
B. A 93% confidence level
C. A 95% confidence level
D. A 98% confidence level
E. A 99% confidence level
(07.01 MC) A t statistic was used to conduct a test of the null hypothesis H0:...
A test of the null hypothesis H0: μ = μ0 gives test statistic z = 0.45. (Round your answers to four decimal places.) (a) What is the P-value if the alternative is Ha: μ > μ0? (b) What is the P-value if the alternative is Ha: μ < μ0? (c) What is the P-value if the alternative is Ha: μ ≠ μ0?
Suppose a test of H0: μ = 0 vs. Ha: μ ≠ 0 is run with α = 0.05 and the P-value of the test is 0.052. Using the same data, a confidence interval for μ is also constructed. (a) Of the following, which is the largest confidence level for which the confidence interval will not contain 0? 90% 94% 95% 96% 99% (b) Of the following, which is the smallest confidence level for which the confidence interval will contain...
A sample of size n=35 was used to conduct a test of the null hypothesis H0: μ = 500. The value of the test statistic is 1.48. What is the p-value of the test statistic? Include 4 decimal places in your answer.
You read that a statistical test at the α=0.01 level has probability 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative? Suppose we tested the null hypothesis that the weight of a McDonald's quarter pounder is 0.25 pounds (H0 : µ = 0.25) against the alternative that the weight is below 0.25 pounds (Ha : µ < 0.25). After collecting a sample our observed z statistic...
You read that a statistical test at the α=0.01 level has probability 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative? Suppose we tested the null hypothesis that the weight of a McDonald's quarter pounder is 0.25 pounds (H0 : µ = 0.25) against the alternative that the weight is below 0.25 pounds (Ha : µ < 0.25). After collecting a sample our observed z statistic...
The five parts are: i. Null Hypothesis: H0 : µ =5.2 ii. Alternative Hypothesis: HA : µ < 5.2 iii. Rejection Region: Reject H0 if t statistic <−t49,.05 =−1.677 iv. Test Statistics: t = Y−µ0 S/pn = 5−5.2 0.7/p50 =−2.0203 <−t49,.05 =−1.677 v. Conclusion. Reject H0 at α = 5%. The data support that the mean dissolved oxygen count of the water is less than the reading at this location over the past year. What is the p-value?
Your research supervisor wants you to test the null hypothesis H0: μ = 25 against the one-sided alternative hypothesis Ha: μ < 25. The population has a normal distribution with a variance of 16. You are told to use a sample size of 100 and a rejection region of . State the probability of a Type II error for this test of significance to four digits to the right of the decimal point under the alternative hypothesis that μ = 24.
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2031 passenger cars in a particular region, 227 had only rear license plates. Among 300 commercial trucks, 45 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars....
Based on the sample data, the P-value for a two-sided test of the null hypothesis H0:μ=10H0:μ=10 vs. H1:μ≠10H1:μ≠10 is 0.06. Which of the following statements is correct? A. the 95% confidence interval includes the value 10 B. the 68% confidence interval includes the value 10 C. the 90% confidence interval includes the value 10 D. None of the above
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2142 passenger cars in a particular region, 249 had only rear license plates. Among 332 commercial trucks, 49 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars....