Four hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.   18–24 25–34 35–55 55 and over Total Liked Crunchicles 12 11 3 45 71 Disliked Crunchicles 1 5 4 6 16 No Preference 13 9 9 282 313 Total 26 25 16 333 400 question: If the selected consumer is 70 years old, what is the probability that they like Crunchicles?

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You want to assess the differences in frequency counts for four different groups. You know there are 150 people total. Without any additional information about how the data is distributed, what would you use for the "expected frequency" in each group?     a.1/4 b.37.5 c.25 d..375

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

The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender:   Opinion Female Male Almost no chance 120 104 Some chance but probably not 141 158 A 50-50 chance 454 499 A good chance 742 729 Almost certain 1168 764 What percent of females thought that they were almost certain to be married in the next 10 years?

Suppose a random sample of 1012 athletes from the college are asked what their major is. The table below shows the results of the survey. Outcome Observed Frequency Math/Science 186 Arts & Humanities 233 Business & Economics 311 Other 282 The distribution of majors at the college is shown in the second column of the table below.   Fill in the expected frequencies.  (Round to the nearest whole number). Frequencies of Majors at the College Outcome Expected Percent Expected Frequency Math/Science 23   Arts & Humanities 18   Business & Economics 31   Other 28

1. What is a random variable? Give an example. Suppose you are shopping online for a new toy for your dog. As you look at the product reviews, you see the following distribution of ratings. Use this table for questions 2-5. Stars Frequency 6. 4 3 3 1 1 2. Sketch a data visualization of the distribution of stars. 3. What is the probability that a randomly chosen reviewer gave the dog toy 3 stars? What is the probability that a randomly chosen reviewer gave the dog toy 3 or fewer stars?

31 fast please A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, 641 members of the sports club are randomly selected. Conduct a test of independence at the 5% level. Sport 18 – 25 26 – 30 31 – 40 41 and over racquetball 40 59 28 44 tennis 58 77 39 64 swimming 74 61 65 32 Group of answer choices There is sufficient evidence to conclude that an individual's sport of choice is dependent on age. There is not sufficient evidence to conclude that an individual's sport of choice is dependent on age. Unable to determine

A random sample of 1700 Texas government employees were selected for a study on race. The table below shows the results of the survey. Outcome White 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). Hispanic Black Observed Frequencies of Race from the Sample Outcome Observed Frequency White 697 Hispanic 714 Other Black Other 136 153 Frequencies of Race Expected Percent 37 41 10 12 Expected Frequency