In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have cancer. Such a class distribution is considered to be
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In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have cancer. Such a class distribution is considered to be:
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- A sample of 296 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Mathematics Female 33 30 22 45 Male 24 43 26 16 Among all the students in the sample, what is the relative frequency of male computer science majors? Round your answer to two decimal places. 1 X Computer science 41 16 Españ AaThe director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 247 Humanities 25% 209 Natural Science 20% 222 Social Science 15% 127 All other subjects 8% 83 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are different.H1: The distributions are different. H0: The distributions are the same.H1: The distributions are the same.H0: The…A veterinarian keeps track of the types of animals treated by an animal clinic. The following distribution represents the percentages of animals the clinic has historically encountered. Animal type Dogs Cats Livestock Birds Other Percent 61% 22% 8% 6% 3% If the animal clinic treats 230 animals in a month, how many of each animal type would be expected? Animal type Dogs Cats Livestock Birds Other Вxреcted 61 22 8. 9. 3) Animal type Dogs Cats Livestock Birds Other Еxpected 122 44 16 12 Animal type Dogs Cats Livestock Birds Other Еxpected 51 18 14 7. 140 Animal type Livestock Birds Other Dogs Cats Еxресted 46 46 46 46 46 Animal type Dogs Cats Livestock Birds Other Expected 140,3 50.6 18.4 13.8 6.9 E.
- The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1079 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. High school Bachelor's 258 40.9 101.8 263 41.8 97.5 270 42.2 94.4 Graduate 288 43.0 98.7 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F= Variation within the samples For the data from…The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 284 Humanities 25% 218 Natural Science 20% 207 Social Science 15% 102 All other subjects 8% 77 (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to three decimal places. Round the test statistic to three decimal places.)A recent health survey 500 single young men yielded the following information: 385 were a member of a sports club, 155 were vegetarian, and 30 declined to answer the survey’s questions. What percent of the men were both members of a sports club and vegetarian? Draw a Venn diagram to illustrate the result of the survey.
- Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.The following table gives the percent of a country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively. Blood Types A+ A− B+ B− AB+ AB− O+ O− Percent 35.7 6.1 8.5 1.5 3.4 0.8 37.4 6.6 (a) What is the probability that a person selected at random from the population has a blood type that is type AB given that the person is Rh+? (Round your answer to two decimal places.)(b) What is the probability that a person selected at random from the population has a blood type that is Rh− given that the person is type O? (Round your answer to two decimal places.)About 5% of the population has a particular genetic mutation. 600 people are randomly selected.Find the mean for the number of people with the genetic mutation in such groups of 600.The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 237 Humanities 25% 220 Natural Science 20% 223 Social Science 15% 128 All other subjects 8% 80 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different.H0: The…
- Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. If a patient is selected at random: What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight? Underweight Normal Weight Overweight Obese Row Totals Diabetic 8 34 65 43 150 Not Diabetic 12 85 93 40 230 Column Totals 20 119 158 83 380The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 267 Humanities 25% 217 Natural Science 20% 222 Social Science 15% 109 All other subjects 8% 73 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are different.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are different. H0: The distributions are the same.H1: The distributions are the same.H0: The…Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.The following table gives the percent of a country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively. Blood Types A+ A− B+ B− AB+ AB− O+ O− Percent 35.9 6.3 9.5 2.5 3.2 0.8 37.4 4.4 (a) What is the probability that a person selected at random from the population has a blood type that is type A given that the person is Rh−? (Round your answer to two decimal places.)(b) What is the probability that a person selected at random from the population has a blood type that is Rh+ given that the person is type B? (Round your answer to two decimal places.)
