A a random sample of automated checkiout scanners produced the data below. a: : 10 overcharges n = 1243 Before scanners the overcharge rate was about 1% 1. Test the claim that the overcharge rate for scanners is less than 1%. Use or : 0.05. Use the P-value method and show all 5 steps. 2. Are scanners more accurate than the old waypeople? Explain in 1 - 2 complete sentences. Conduct the following tests of hypotheses. Use the P-value method and show all 5 steps. 1. Due to suspect accuracy lie detector evidence is not usually allowed in court in California. A simple random sample of 983 lie detector tests was gathered. There were 229 wrong results, and 754 correct results. Use a 5% level of signicance to test the claim that lie detector results are correct less than 80% of the time. 2. A particular company makes a drug test forTHC--the active ingredient in marijuana. Among 450 randomly selected tests 40 tests were wrong, either a false positive or false negative. Test the claim that less than 10% ot the tests were wrong at the 0.05 level of signicance. 3. Candy! M&M's! Research shows that the Mars candy company claims that 16% of M&M's are green. A random sample of 154 M&M's contained 20 green M&M's. Test the claim that 16% of M&M's are green. Does the claim appear accurate? 4. In a study of 1228 randomly selected malpractice lawsuits 856 were either dropped or dismissed. Test the claim that most malpractice lawsuits are either dropped or dismissed. Use an or : 0.01 level of significance