#8. The following hypotheses are to be tested, with ?0 100 Suppose that the population standard...
Throwback Question. Suppose the following hypotheses are tested: H.:p= 0.544 versus HQ:P + 0.544 What is the appropriate decision rule for this test? O reject H, if probability <a O reject H, if probability + a O reject H, if probability > a The probability for the test is found to be 0.0627. Based on the decision rule above, what type of error is possible if a = 0.05? Type I error O Type II error If the significance level...
Consider the following null and alternative hypotheses: Ho: p=0.76 versusH1: p≠ 0.76 A random sample of 525 observations taken from this population produced a sample proportion of 0.80. a. If this test is made at a 5% significance level, would you reject the null hypothesis? Use the critical-value approach. Round your answer for z to two decimal places. z(observed)= z critical left= z critical right= We reject/fail to reject null hypothesis b. What is the probability of making a Type...
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...
please show your work...................... The probability of a Type I error is denoted by C. a d, 1-α b. 1-B a. b. c. d. A Type I error is committed if we make a correct decision when the null hypothesis is false a correct decision when the null hypothesis is true an incorrect decision when the null hypothesis is false. an incorrect decision when the null hypothesis is true 6. a. b. c. d. A Type Il error is committed...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? b. What is the probability of making a Type II error when...
1 of 2 (Question 1 of 2) If we fail to reject Ho when in fact He is true, this is a _ error. A Type 1 B Type II C None of the above 2 of 2 (Question 2 of 2) The mean fineness, u, of yarn is expected to be greater than the standard, value of 5 units. To test this claim, the factory graded 16 specimens of the yarn and found the sample average, X, to be...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Ho: 1 = 16 Hai + 16 conclusion and Action Filling okay, keep running Filling off standard; stop and adjust machine The sample size is 32 and the population standard deviation is o = 0.9. Use a = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? Concluding that the mean filling weight is 16 ounces when...
Example: An analyst is conducting a test involving the following hypotheses HM 100 vs. H: > 100 The population is known to be normally distributed with a standard deviation of 24. Assume that the sample size is 36. Suppose the acceptance region is X 106.58, a. Find the Type I error b. Calculate the probability of making a Type II error if the population mean actually equals 105.
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. What would a Type II error mean in this situation? SelectConcluding that the mean filling weight is not 16 ounces when it actually isConcluding that the...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. What would a Type II error mean in this situation? SelectConcluding that the mean filling weight is not 16 ounces when it actually isConcluding that the...