Question

DIE A stent is a wire mesh tube that is placed in a blood vessel to keep it open. A total of 740 patients received a new kind of stent that was coated with a drug designed to prevent a blockage in the blood vessel. Of these, 83 required additional treatment within a year. Can you conclude that less than 14% of patients receiving these stents required additional treatment? Use the a = 0.05 level of significance. State both your null and alternate hypotheses, the test statistic (to three decimal places), the p-value (to four decimal places), and the conclusion estion - 441 B. 1 A 1 1 va 2 B 20 BUS XX E 33 <> @

Answer 1

Answer Date: 28/04/2020 To test the hypothesis is that the proportion of patients receiving these stents required additional treatment is less than 14% at 5% level of significance. The null and alternative hypothesis is, H H :p = 0.14 :p<0.14 The z-test statistics is, By using TI-84 calculator, find z-test statistics with the help of following steps: 1) Import the data. 2). Select TESTS from Stat menu. Select 1-Proportions Z Test from TESTS variables. Enter PO, x, n and select Alternative from 1-Proportions Z Test. Select Alternative from Hypotheses. Press Calculate. Foo

1-PropZTest Prop. 14 I UNUL NAFN 000 PLN TO From the TI-84 calculator output, the z-test statistics is - 2.182 The p-value for this test is, From the TI-84 calculator output, the p-value for this test is 0.0145 Decision The conclusion is that the p-value in this context is less than 0.05 which is 0.0145, so the null hypothesis is rejected at 5% level of significance. It can conclude that the proportion of patients receiving these stents required additional treatment is less than 14%. The result is statistically significant.