Question

10) A set of data was collected involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant. A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift. She will make her decision using a test with a level of significance of 0.10. The following information was determined for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: H0: μ ≤ 20 versus H1: μ > 20; α = 0.10; df = 45; T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject. True or False: The null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed. TRUE OR FALSE

Answer 1

as we can see from above output that p value=0.021 is greater than 1% level of significance ; therefore we can not reject null hypothesis at 1% level

hence False