BFW Publishers Resources ° Suppose Deidre, a quality assurance specialist at a lab equipment company, wants to determine whether or not the company's two primary manufacturing centers produce test tubes with the same defect rate. She suspects that the proportion of defective test tubes produced at Center A is greater than the proportion at Center B. Deidre plans to run a z-test of the difference of two proportions to test the null hypothesis, Ho PA = PB, against the alternative hypothesis, H. PA > PB, where PA represents the proportion of defective test tubes produced by Center A and p represents the proportion of defective test tubes produced by Center B. Deidre sets the significance level for her test at a = 0.05. She randomly selects 358 test tubes from Center A and 366 test tubes from Center B. She has a quality control inspector examine the items for defects and finds that 20 items from Center A are defective and 11 items from Center B are defective. Compute the z-statistic for Deidre's z-test of the difference of two proportions, PA - PB. z= (Round to 2 decimal places) Compute the P-value for Deidre's z-statistic using either software or a z-distribution table. P-value= (Round to 4 decimal places) Select the accurate statement regarding Deidre's hypothesis test decision and conclusion. Deidre should reject the null hypothesis. She has convincing evidence (P< a) that the proportion of defective items produced in Center A is greater than the proportion of defective items produced in Center B. Deidre should fail to reject the null hypothesis. She has not convincing evidence (P < a) that the proportion of defective items produced in Center A is greater than the proportion of defective items produced in Center B. Deidre should reject the null hypothesis. She has convincing evidence (P< a) that the proportion of defective items produced in Center A is equal to the proportion of defective items produced in Center B. Deidre should fail to reject the null hypothesis. She has not convincing evidence (P> a) that the proportion of defective items produced in Center A is greater than the proportion of defective items produced in Center B. MacBook Air