A clinical trial for a new material used in hip transplant. The existing material has failure rate of 0.02. The manufacturer claims that the new material has lower failure rate. Ho: Ha: P = 0.02 p<0.02 What is the type I error? What is the type II error? As a patient, do you prefer a clinical trial with a test of larger a = 0.05 or smaller a = 0.01 ? ● As an investor who holds the company's stock, do you prefer a test with a = 0.05 or a = 0.01 ?
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- A sample is counted for 10 minutes and results in 530 gross counts. A 30-minute background count results in 1,500 counts. The detector efficiency is 0.10 cpm/dpm. What is the critical level (net count rate) that corresponds to a risk of making a Type I error, where α is 0.05? a. 3.0 cpm b. 4.2 cpm c. 50 cpm d. 53 cpmL12Q5.At 10% level of significance, the critical value(s) of z to test H0: μ1= μ2; against Ha: μ1 ≠ μ2 is/areA medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic z. (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
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