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- A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury (mmHg), for a sample of 10 adults. The following table presents the results. ---Predict the diastolic pressure for a patient whose systolic pressure is 145 millimeters. Round the answer to one decimal place.An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2: Suppose a sample of 261 tankers is drawn. Of these ships, 46 had spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places. Step 2 of 2: Suppose a sample of 261 tankers is drawn. Of these ships, 46 had spills. Using the data, construct the 90% confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places.The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 1 of 2: Suppose a sample of 233 suspected criminals is drawn. Of these people, 72 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places. Step 2 of 2: Suppose a sample of 233 suspected criminals is drawn. Of these people, 72 were captured. Using the data, construct the 80% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.
- A medical researcher says that less than 85% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than enter your response here% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not enter your response here%. C. More than enter your response here% of adults in the country think that healthy children…A researcher wishes to estimate the proportion of adult males who are less than 5 feet 5 inches tall. She wants to be 90% confident that her estimate is within 4% of the true proportion (Round to the nearest whole number): (a) How large a sample should be taken if in a sample of 300 males, 30 were less than 5 feet 5 inches tall?(b) If no estimate of the sample proportion is available, how large should the sample be?A medical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 75% think that healthy children should be required to be vaccinated. At α=0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. More than % of adults in the country think that healthy children should be required to be vaccinated. B. % of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. Less than…
- Staying Single. From the U.S. Census Bureau document America’s Families and Living Arrangements and an article in Time magazine, we found that, in 1963, 83.0% of American women between the ages of 25 and 54 were married, compared to 64.6% in 2010. a. For 2010, identify the population.b. For 2010, identify the specied attribute.c. Under what circumstances is the proportion 0.646 a population proportion?d. Under what circumstances is the proportion 0.646 a sample proportion?A medical researcher says that less than 76% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 500 adults in that country, 73% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. B. Less than 7676% of adults in the country think that healthy children should be required to be vaccinated. Your answer is correct. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More…A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 84% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 8686% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More than nothing%…
- The head of a computer science department is interested in estimating the proportion of students entering the department who will choose the new computer engineering option. A preliminary sample indicates that the proportion will be around 0.35. Therefore, what size sample should the department head take if she wants to be 95% confident that the estimate is within 0.10 of the true proportion?The highway department wants to estimate the proportion of vehicles on a Highway at KM 25 between midnight and 5:00 A.M. The head of the department wants to see how many 18-wheel tractor trailers pass on the road. These estimates will be used to determine highway repairs and construction considerations and in highway patrol planning. The department chief asked investigators to calculate estimates of vehicles at different locations on inter-island roads over the past 7 days. From 3,481 vehicles counted there are 927 are 18-wheel drive. However, out of the total 927, there were 51 vehicles that had accidents so that the sample was calculated based on the results of a reduction in the number of accidents. Specify an approximate point for the proportion of vehicles performingtravel on KM 25 during this time period which is an 18-wheeled vehicle!(Assume the confidence level is 99%). What are the benefits of estimating value estimates in this case (analysis of the answers you have obtained)?Recent studies have shown that about 39.4% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 600 patients and find that 204 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.4%. Give a numerical value for each of the following. (a) the population proportion, p, of obese patients in the medical clinic p = (b) the proportion of obese patients, p̂, for the sample of 600 patients p̂ = (c) the standard error, s.e., of p̂ (Round your answer to four decimal places.) s.e.(p̂) = (d) the mean of the sampling distribution of p̂ (e) the standard deviation, s.d., of the sampling distribution of p̂ (Round your answer to four decimal places.)
