AP Statistics - Unit 6 Name: Mr. Hiracheta Date: Per: 3 Answer all questions to the best of your ability. Good Luck! Multiple Choice Options: Circle the correct answer for the following questions. No explanation is needed. 1) A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each of two random samples selected from the same population: sample R and sample S. Let R represent a random sample of size 1,000, and let S represent a random sample of size 4,000. If the point estimate obtained from R is equal to the point estimate obtained from S, which of the following must be true about the respective margins of error constructed from those samples? A) The margin of error for S will be 4 times the margin of error for R. B) The margin of error for S will be 2 times the margin of error for R. C) The margin of error for S will be equal to the margin of error for R. D) The margin of error for R will be 4 times the margin of error for S. E) The margin of error for R will be 2 times the margin of error for S. cupport leve 2) A company produces millions of 1-pound packages of bacon every week. Company specifications allow for no more than 3 percent of the 1-pound packages to be underweight. To investigate compliance with the specifications, the company's quality control manager selected a random sample of 1,000 packages produced in one week and found 40 packages, or 4 percent, to be underweight. Assuming all conditions for inference are met, do the data provide convincing statistical evidence at the significance level of a = 0.05 that more than 3 percent of all the packages produced ir one week are underweight? %3D A) Yes, because the sample estimate of 0.04 is greater than the company specification of 0.03. B) Yes, because the p-value of 0.032 is less than the significance level of 0.05. C) Yes, because the p-value of 0.064 is greater than the significance level of 0.05. D) No, because the p-value of 0.032 is less than the significance level of 0.05. E) No, because the p-value of 0.064 is greater than the significance level of 0.05. 081 3)An environmental scientist wants to test the null hypothesis that an antipollution device for cars is not effective. Under which of the following conditions would a Type I error be committed? A) The scientist concludes that the antipollution device is effective when it actually is not. B) The scientist concludes that the antipollution device is not effective when it actually is. C) The scientist concludes that the antipollution device is effective when it actually is. D) The scientist concludes that the antipollution device is not effective when it actually is not. E) A Type I error cannot be committed in this situation.