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- A colonoscopy is a medical procedure that is designed to find and remove precancerous lesions in the colon before they become cancerous. The article “Association of Colonoscopy and Death from Colorectal Cancer” reports that in a sample of 10,292 people diagnosed with colorectal cancer, 7.1% had previously had a colonoscopy. In a sample of 51,460 people without colorectal cancer, 9.8% had previously had a colonoscopy. 25. Can you conclude that the percentage of people who have had colonoscopies is greater in those without colorectal cancer? Use ? = 0.01Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas—that is, liver-cell carci-noma. Suppose we know, based on a large sample, that the risk of hepatoma among alcoholics without cirrhosis of theliver is 24%. What is the smallest number of hepatomas that wouldhave to be observed among the alcoholics with cirrhosis ofthe liver for the hepatoma experience in this group to differfrom the hepatoma experience among alcoholics withoutcirrhosis of the liver? (Hint: Use a 5% probability of gettinga result at least as extreme to denote differences betweenthe hepatoma experiences of the two groups.)Suppose that 73.2% of all adults with type 2 diabetes also suffer from hypertension. After developing a new drug to treat type 2 diabetes, a team of researchers at a pharmaceutical company wanted to know if their drug had any impact on the incidence of hypertension for diabetics who took their drug. The researchers selected a random sample of 1000 participants who had been taking their drug as part of a recent large-scale clinical trial and found that 718 suffered from hypertension. The researchers want to use a one‑sample ?z‑test for a population proportion to see if the proportion of type 2 diabetics who have hypertension while taking their new drug, ?p, is different from the proportion of all type 2 diabetics who have hypertension. They decide to use a significance level of ?=0.01α=0.01. Determine the value of the ?z‑test statistic. Give your answer precise to two decimal places. Determine the ?-valueP-value for this test. Give your answer precise to three decimal places.
- A electronics retailer list the sales (in thousands) of certain products in three cities for the prior quarter. During that period tablets sold for $241, laptops sold for $505, cell phones sold for $437, and DVR sold for $1,564. City 1 City 2 City 3 Tablets 4444 5757 3939 Laptop Computers 6464 7777 6868 Cell Phones 3131 5353 6969 Personal DVR 3030 7676 5454 City 1's total sales : City 2's total sales : City 3's total sales :A researcher wants to know why individuals in Community A have a higher rate of a rare form of cancer when compared to those living in Community B. To find out the reasons for the differences in cancer rates in these two communities, the investigator surveyed residents about their lifestyle, noted the types of businesses that were present in the community and searched medical records. The researcher found that the headquarters for the Toxico Chemical Plant is located in Community A, there is a higher rate of cigarette smoking in this community and residents tended to delay or skip going to the doctor for an annual checkup. In Community B, the largest employer was a department store and on average, residents did not smoke as much as residents from Community A. However, like individuals from Community A, Community B residents tended to delay or skip their annual checkup with their doctor. 1. What makes this a descriptive study?An insurance company offers four different deductible levels—none, low, medium, and high—for its homeowner’s policyholders and three different levels—low, medium, and high—for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, theproportion of individuals with both low homeowner’s deductible and low auto deductible is .06 (6% of all such individuals).Suppose an individual having both types of policies is randomly selected.a. What is the probability that the individual has a medium auto deductible and a high homeowner’s deductible?b. What is the probability that the individual has a low auto deductible? A low homeowner’s deductible?c. What is the probability that the individual is in the same category for both auto and homeowner’s deductibles?d. Based on your answer in part (c), what is the probability that the two categories are different?e. What is the probability that the…
- In Pakistan, thousands of graduates got degrees from different universities every year. Most of them don't get jobs because of the economic crises. The Jobless rate continued to increase and few of them are involved in illegal activities that cause increasing in the crime rate. The following data show the jobless rate and the number of crimes for 10 different cities: City Jobless Rate (%) Crime Rate (%) Karachi 14 3 Lahore 21 4 Islamabad 16 2 Multan 28 4 Faisalabad 13 3 Jacobabad 34 5 Hyderabad 19 4 Peshawar 30 5 Quetta 42 5 Larkana 33 4 Use Microsoft Excel to compute the correlation coefficient. Is there a positive correlation between the jobless rate and the percentage of crime rate? Discuss it?A school district started using a new criteria for selecting which students entered their "accelerated" math track, starting in 6th grade. The study found that under the new criteria about 75% of the students in the district were eligible for accelerated math in 6th grade, but that from one year to the next only about 2/3 of the students stayed in the accelerated track. a) Assuming that everyone who is eligible enrolls the first year, make a TABLE that shows the percent of the students in the district that would be expected to be enrolled in the accelerated track each year from 6th grade until 10th grade. Please show the work you used to fill in your table. b) Considering that from one year to the next about 2/3 of the students stay in the accelerated track, is there a grade level in which you'd expect about 1/10 as many students in the accelerated track as there were in 6th grade? Does the number of students in the accelerated track in 6th grade affect your answer? Please show your…Male Female26,801 21,39217,251 25,0384,624 4,47927,801 18,27024,555 10,6637,767 17,11020,536 10,77916,516 19,98425,601 14,05620,948 18,51912,153 17,70311,382 11,30813,138 17,00723,568 25,14217,874 5,616102 17,63120,292 24,5689,701 16,93722,178 15,53116,189 12,88517,664 30,97022,418 6,5195,993 18,3335,899 6,10424,563 10,00311,655 17,88411,600 12,35514,317 20,13011,649 21,96117,427 13,33914,658 35,76910,205 10,68520,063 9,15415,219 11,99611,846 30,61614,723 20,53517,184 16,2678,686 17,89917,833 20,14113,345 14,90014,770 19,1535,386 11,94719,548 16,55313,755 18,12515,959 30,23816,800 38,61218,987 24,75439,299 33,12517,677 25,55947,062 32,94627,391 20,46511,298 5,18615,815 25,02111,590 14,5586,579 15,67619,395 28,954
- 4. The number of passengers (in thousands) for the leading U.S. passenger airlines in 2004 is indicated below. 91,570 86,755 81,066 70,786 55,373 42,400 40,551 21,119 16,280 14,869 13,659 13,417 13,170 12,632 11,731 10,420 10,024 9,122 7,041 6,954 6,406 6,362 5,930 5,585 5,427• Use the data to construct a grouped frequency distribution and a cumulative frequency distribution with a reasonable number of classes and comment on the shape of the distribution using graph.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. D) Compute the test statistic z0. Round to the nearest hundredth. E) Draw a normal model with the area that represents the P-value shaded. F) Determine and interpret the P-value. What is the conclusion of the hypothesis test?