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- At a stop sign, some drivers come to a full stop, some come to a rolling stop (not a full stop, but slow down), and some do not stop at all. Test if there is an association between gender and type of stop (full, rolling, or no stop). Data is collected by standing a few feet from a stop sign and taking note of the type of stop and the gender of the driver. Below is a contingency table summarizing the data that was collected. Do the data provide enough evidence to show that there is an association between gender and type of stop (full, rolling, or no stop)? Test at the 3% level and round expected values to one decimal place. Type of Stop Male (Observed) Male (Expected Value) Female (Observed) Female (Expected Value) Row Total Full Stop 11 21 32 Rolling Stop 15 15 30 No Stop 9 8 17 Column Total 35 44 79 H: HypothesesHo:Ho:Select an answer Gender male female Male and Select an answer Type of Stop male female Female are Select an answer independent dependent…2. The National Park Service is interested in determining whether placing predator cages over the loggerhead turtle nests on Cape Lookout National Seashore will keep raccoons from stealing eggs from the nests. Due to budget constraints, funding for the predator cages will only be approved if the Park Service can provide convincing evidence that the predator cages increase the number of turtles that successfully fledge from the nests. The Park Service plans to collect data from the loggerhead turtle nests which are laid at Cape Lookout one season, 35 of which will have a predator cage placed over them and 35 of which will not. A test of significance will be conducted at a significance level of a = 0.05 for the following hypotheses: Ho: µc = HNC Ha: Hc > HNC> where µc is the mean number of eggs that successfully hatch per nest for all loggerhead turtle nests on Cape Lookout with a cage and µnc is the mean number of eggs that successfully hatch per nest for all nests on Cape Lookout with…The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 8.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (b) Assuming his suspicion that 8.7% of his customers buy a magazine is correct, what is the probability that exactly 3 out of the first 14 customers buy a magazine? Give your answer as a decimal number rounded to two digits.
- 1Airline companies recognize that empty seats represent lost revenues that can never be recovered. To avoid losing revenues, the companies often book more passengers than there are seats. Then, when a flight experiences fewer no- shows than expected, some passengers are "bumped" from their flights (are denied boarding). Incentives are provided to encourage passengers to give up their reserved seat voluntarily, but occasionally some passengers are involuntarily bumped from the flight. Obviously, these incidents can reflect poorly on customer satisfaction. Suppose Southwest Airlines would like to estimate the true proportion of involuntarily bumped passengers across all domestic flights in the industry. In a pilot sample of 55 domestic passengers, 5 were involuntarily bumped from their flights. Determine the sample size needed to construct a 98% confidence interval with a margin of error no more than 5% to estimate the true proportion of involuntarily bumped passengers. Which of the…An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers. After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A What is your decision? Enter “R” if your decision is to reject the null hypotheses. Enter “F” if the decision is fail to/do not reject the null hypotheses. Your answer (R/F) is: Which of the followings is the most appropriate conclusion for the hypotheses test? Enter the number corresponding to the most appropriate conclusion in the answer box. For example, if statement number 2 is the most…
- Westminster Financial has released a summary of investor and investment package information from the past fiscal year. During this time, Westminster provided a choice among 12 pre-designed investment packages. The investment packages were classified according to two variables: riskiness of investment package chosen ("Risky", "Moderate/mixed", and "Conservative") and age of investor ("Under 35", "35-49", or "50+"). Suppose that we're interested in the possible relationship between the age of the investor and the riskiness of the investment package the investor chose. The following contingency table gives a summary of the information released by Westminster regarding age and riskiness of investment package for 150 investors. In the cells of the table are the respective observed frequencies, and three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, riskiness of investment package chosen and age of investor, are independent. Round…You may need to use the appropriate appendix table or technology to answer this question. In a recent poll six hundred adults were asked a series of questions about the state of the economy and their children's future. One question was, "do you expect your children to have a better life than you have had, a worse life, or a life about the same as yours?" Suppose the responses showed 251 better, 303 worse, and 46 about the same. Use the sign test and a = 0.05 to determine whether there is a difference between the number of adults who feel their children will have a better life compared to a worse life. State the null and alternative hypotheses. (Let p = the proportion of adults who feel their children will have a better life.) OH: P≥ 0.50 H₂: P 0.50 O H₂: P = 0.50 H₂: P = 0.50 O Ho: P < 0.50 H₂: P = 0.50 Find the value of the test statistic. (Round your answer to two decimal places.) z = -2.21 x Find the p-value. (Round your answer to four decimal places.) p-value = 0.0192 X What is…3) The following two sets of Excel output use are from the same data set as described above, but the first set of output is for the set of 35 CEO’s that earn the lowest total compensation and the second set of output is for a set of 40 CEO’s that earn the highest total compensation. a) What is heteroscedasticity? b) Why is heteroscedasticity a problem? c) Based on a comparison of the two sets of output, does it appear that there is heteroscedasticity in the data set? Explain.