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Exercise 2. Dreams % Problem. A study was conducted to determine the proportion of people who dream in black and white instead of colour. Among 306 people over the age of 55, 68 dream in black and white, and among 298 people under the age of 25, 13 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion under 25 Solution Z: (31192)(P1P2) w/ E + E n1 "2 (I: ) (0) E P-value = 0.0000... IE + Reject the null hypothesis 13 the claim:_p1 > p2 EH Exercise 3. Salk Vaccine Problem. In the largest clinical trial ever conducted, 401 974 children were randomly assigned to two groups. The treatment group consisted of 201 229 children given the Salk vaccine for polio, and the other 200 745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods of this section to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis satisfied? Explain A. Verifying requirements - Samples are random samples - Samples are independent - \"Successes\" are @ and @ SP5; ST@5 - \"Failures are @ and @ FP5;FT.5 The requirements are 0 Portfolio Exercise 2. NYC Homicides 9. NYC Homicides For a recent year, the following are the numbers of homicides that occurred each month in New York City: 38, 30, 46, 40, 46, 49, 47, 50, 50, 42, 37, 37. Use a 0.05 significance level to test the claim that homicides in New York City are equally likely for each of the 12 months. Is there sufficient evidence to support the police commissioner's claim that homicides occur more often in the summer when the weather is better?Portfolio Exercise 1. Flat Tire and Missed Class ITIITI 8. Flat Tire and Missed Class A classic story involves four carpooling students who missed a test and gave as an excuse a at tire. On the makeup test. the instructor asked the students to identify the particular tire that went at. If they really didn't have a at tire. would they be able to identify the same tire? The author asked 41 other students to identify the tire they would select. The results are listed in the following table (except for one student who selected the spare). Use a 0.05 signicance level to test the author's claim that the results t a uniform distribution. What does the result suggest about the ability of the four students to select the same tire when they really didn't have a at? Tire Left Front Right Front Left Rear Right Rear Number Selected 11 15 8 6