Compute a 95% confidence interval for the population proportion of spar- rows that build nests in vines.
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- Question #14 Use the accompanying paired data consisting of registered boats (tens of thousands) and manatee fatalities from boat encounters. Let x represent the number of registered boats and let y represent the corresponding number of manatee deaths. Use the given number of registered boats and the given confidence level to construct a prediction interval estimate of manatee deaths. Use x=85 (for 850,000 registered boats) with a 99% confidence level. View the boats and manatee data. Boats (tens of thousands) Manatees 65 53 66 37 69 34 72 47 73 44 72 62 73 53 81 67 83 83 83 76 93 80 90 93 96 73 97 69 100 78 97 94 101 71 96 92 98 99 93 82 87 88 89 80 89 74 93 66 Find the indicated prediction interval.…Question 1 In a sample of 400 shops it was discovered that 136 of them sold carpets at below the list prices, which had been recommended by manufacturers. (a) Estimate the percentage of all carpet selling shops below list price. (b) Calculate the 95% confidence limits for this estimate.Question # 14Males and females were asked about what they would do if they received a $100 bill by mail, addressed to their neighbour, but wrongly delivered to them. Would they return it to their neighbour? Of the 69 males sampled, 52 said "yes” and of the 131 females sampled, 120 said “yes.”a. Find a 95% confidence interval for the difference in proportions for males and females who said “yes.”b. Does the data indicate that the proportions that said “yes” are different for males and females at a 5% level of significance? Conduct the test using the p-value approach.
- Question 20: find a 90% confidence interval for the average home price in the area.Question 10 Political Science, Inc. (PSI) specializes in voter polls and surveys designed to keep political office seekers informed of their position in a race. Using telephone surveys, interviewers ask registered voters who they would vote for if the election were held that day. In a recent election campaign, PSI found that 220 registered voters, out of 500 contacted, favored a particular candidate. a. Develop a 95% confidence interval estimate for the proportion of the population of registered voters that favors the candidate.b. Suppose that PSI would like 99% confidence that the sample proportion is within ± .03 of the population proportion. What sample size is needed to provide the desired margin of error?question #2 2. A recent survey showed that from a sample of 500 packages delivered by a Postal Service,480 were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service. b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98 percent.
- Question 11: use this information to construct a 95% confidence interval for the proportion of the population that will reject relocation offers due to family considerations.Question 4: A survey was administrated to determine the proportion of workers who reject relocation offers to be an administrator for family considerations. In the survey 423 people out of 672 rejected relocation offers due to family considerations. Use this information to construct a 95% confidence interval for the proportion of the population that will reject relocation offers due to family considerations. Question 6: suppose a survey of 275 executives is taken in an effort to determine what qualities are most important for an effective CEO possess. The survey offered participant several qualities as options, One of which is communicator is the most important quality for an effective CEO. We had 121 of the survey respondents select communicator as the most effective quality for an effective CEO. Use this data to construct a 95% confidence interval to estimate the population proportion of executives who believe that communicator is the most important quality of an effective CEO. 
- QUESTION 16 In 2005, Health Canada claimed that 16.6% of Canadian adults are obese. A researcher wanted to check whether this percentage has increased in 2009. He randomly selected 160 Canadian adults and found 30 of them are obese. He wants to develop a 92% confidence interval for the obese percentage in 2009. Write down the critical valueQuestion four A poll was conducted in a very small community in country X to see if residents are for or against a new policy that requires them to wear a mask. A total of 500 persons were surveyed. Of the 500 surveyed 200 are against wearing a mask. Compute a 90% confidence interval for the true percent of residents who are against the new policy and interpret the confidence interval.QUESTION 14 A university wants to determine whether a recently hired instructor (Instructor I) is working out. Nineteen (19) out of 30 of “Instructor I” students passed a certain test on the first try. In comparison, 57 out of 72 of more experienced “Instructor II” students passed the test on the first try. Calculate the confidence interval for the difference of the two proportions, defined as: 'proportion (Instructor I) - proportion (Instructor II)' (0.329 , 0.582) (- 0.013 , 0.002) (- 0.355 , 0.038) (- 0.585 , - 0.108)