A study was recently done in which 500 people were asked to indicate their preferences for one of three products. The following table shows the breakdown of the responses by gender of the respondent. Product Preference Gender Male Female A 80 200 B 20 70 C 10 120 Based on these data, the probability that a person in the population will prefer product A can be assessed as:
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- What is the proportion of the blood type O?A student must have a B average or better for all courses to qualify for any athletic team at Jefferson High School. The table below shows the distribution of students' grades in three sports at the school. Students with Students with a Sport an A Average B Average Field hockey 15 4 Basketball 7 13 Football 2 22A random sample of 1756 Texas government employees were selected for a study on race. The table below shows the results of the survey. Observed Frequencies of Race from the Sample Outcome Observed Frequency White 720 Hispanic 755 Black 158 Other 123 The racial distribution for the state of Texas is shown in the second column below. Fill in the expected frequencies. (Round to the nearest whole number). Frequencies of Race Outcome Expected Percent Expected Frequency White 42 Hispanic 40 Black 10 Other 8
- The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.24 Juan 1.66 Haley −1.84 Joel 0.00 Jan −0.84 Linda 1.68 Which of these students scored above the mean? (Select all that apply.) Which of these students scored on the mean? (Select all that apply.) Which of these students scored below the mean? (Select all that apply.) If the mean score was μ = 140 with standard deviation σ = 15, what was the final exam score for each student?A boxplot of some data is as follows. 20 40 60 50 100 120 Using this boxplot, answer the following questions. What is the lower quartile? What is the upper quartile? Choose... Choose... Is the boxplot left-skew, symmetric or right-skew? Choose...The national distribution of scores on the Advanced Placement (AP) examination in statistics (out of a possible 5 points) is provided in the following table. Score 1 or 2 3 5 Percentage 40% 25% 23% 12% A simple random sample of 100 high school students who took the AP exam in statistics is taken from the high schools in a certain school district. The observed counts based on this sample of students are provided in the following table. Score 1 or 2 3 4 5 Count 18 19 37 26 The chi-square statistic for these data equals 38.4. What do we know about the P-value for testing if the national model can be used for students in this school district? P-value 0.005 Can't tell
- answer the questions in the picture please.A research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in Microsoft® Excel® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…A firm wants to know if there is any difference in percentage of sport category watched based on age. The data for consumer preference can be found in the table below. What are the expected frequencies of each consumer entry? TV Viewers: % of Viewers, by Major Sport Category Item Ages 18-34 Ages 35+ eSports 50.6 86.3 Mixed Martial Arts 30 80.7 MLS 27.3 79.7 High School Football n/a 79.4 Minor League Hockey 24.6 78.8 Soccer (non-USA) 23.9 78.7 NBA 23.9 77.5 Running n/a 76.9 Minor League Baseball 21.7 76.7 NHL 20.1 73.9 NFL 20.1 70.5 NASCAR 19.3 n/a MLB 19.1 68.1 Tennis 18.7 68.5 College Basketball 18.2 n/a IndyCar 18 62.7 College Football 17.9 62.5 Golf 11.9 32
- A psychology professor assigns letter grades on a test according to the following scheme. A: Top 10%10% of scores B: Scores below the top 10%10% and above the bottom 63%63% C: Scores below the top 37%37% and above the bottom 20%20% D: Scores below the top 80%80% and above the bottom 7%7% F: Bottom 7%7% of scores Scores on the test are normally distributed with a mean of 71.571.5 and a standard deviation of 9.59.5. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.Personality preferences for a random sample of 519 people in the listed professions are shown in the following table. T refers to THINKING and F refers to FEELING. Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Occupation T F Row Total Clergy 57 91 148 M.D. 77 82 159 Lawyer 118 94 212 Column Total 252 267 519Use the following data to calculate the expected frequencies for each category. fe Type fo A B Total 190 320 215 325