Tyler Introductory Statistics Test 3 In the following problems, state the hypotheses, the p-value, and your decision. 1. In a mayoral election, 308 out of 611 voters surveyed said that they voted for the candidate who won. Use a .01 significance level to test the claim that among all voters, the precentage who believed that the voted for the winning candidate is equal to 43%, which is the actual percentage of voters for the winning candidate. 2. The totals of individual weights of garbage descarded by 62 households in one week have a mean of 27.443 lbs. Assume that the population standard deviation of garbage weights is 12.4458 lbs. Use a 5% significance level to test the calim that the population of households has a mean less than 30 Ibs, which is the maximum amount that can be handled by the current waste removal system. 3. Suppose the time that it takes a certain large bank to approve a home loan normally distributed with mean (in days) p. The bank advertises that it approve ans in 5 days, on average, but measurements on a random sample of 400 loan plications to this bank gave a mean approval time of i = 5.2 days and standard viation o = 1. Is this evidence that the mean time to approval is actually more an advertised at significance level o = 0.01? 4. A simple random sample of pulse rates in 40 women results in a standard iation of 12.5 beats per minute. The normal ranve of pulse rates of adults is ically given as 60 to 100 beats per minute. Using a range rule, we assume that standard deviation is 10 beats per minute. Use the sample results with a .0 ificance level to test the claim that pulse rates of women have standard deviation I to 10 beats per minute. We test the cost of a cup of coffee which varies from city to city. A stud one to test the claim that the mean cost of a cup of coffee is more than $2.( costs yield a mean of $2.20 and a standard deviation of 20 cents. Do the da t the claim at the 5% level? what is the p-value if the significance was