24 pounds. study examined a random sa dredth. The Internal Revenue Service believes 20% of all people who submit a return make some kind of mistake on the return ( forget to sign the return, addition error, use wrong form, etc.). A recent advertising campaign has been developed to encourage filers to thoroughly check their return before sending it to the IRS. A random sample of 150 returns was selected and after careful auditing, 21 were found to have errors. Use this information to determine if the advertising campaign lowered the percentage of people who make errors on their returns. a. State the null and the alternative hypothesis. b. Conduct a 1 Proportion Z-Test and compute the P-value. c. Draw a conclusion. 10. You take a quiz with 5 multiple choice questions. After you studied, you estimated that you would have about an 65% chance of getting any individual question right. The results of a simulation that was completed for this scenario are listed below. Assume the numbers 1-65 represent a correct answer and the rest represent an incorrect answer. Find that probability that you would get at least 3 questions correct. Trial #1 95 91 15 52 41 Trial #6 73 2 43 31 98 Trial #2 74 5 34 100 21 Trial #7 3 84 62 21 99 Trial #3 80 96 23 37 1 Trial #8 73 31 25 95 93 Trial #4 94 11 1 55 86 Trial #9 5 12 70 99 64 Trial #5 98 28 27 13 6 Trial #10 32 9 100 20 40 11. A cereal company puts prizes in each box. There are 4 different bouncy ball prizes: yellow, green, and blue. Design a simulation to determine how many boxes you will need to buy to get all 3 bouncy balls. Design a simulation and run 10 trials to find on average how many boxes will it take in order for you to have all three color prizes