Exam For Questions 31 through 41, consider the following scenario: The owner of

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Exam For Questions 31 through 41, consider the following scenario: The owner of a yoga studio knew that people practice yoga for all kinds of reasons, and she suspected that those reasons might be related to how long people had practiced. If she knew more about the relationship between the length of time people had practiced yoga and their reason for practicing, the owner could tailor her scheduling and advertising both to attract new clients, and to keep long-term clients coming back. The studio owner decided to use a Test of Independence to determine whether length of time practicing yoga was related to reason for practicing yoga at the significance level The owner took a random sample of 178 clients, and surveyed them to ask: why do you practice yoga? The possible answers were: to increase fitness and flexibility; to enhance mindfulness; and to relax and recover. She wanted to compare people who had been practicing yoga for less than a year, and those who had been practicing a year or more The characteristics of the sample were as follows: of those who had been practicing less than one year 33 said they practice yoga for fitness and flexibility, 19 to enhance their mindfulness, and 15 for relaxation and recovery, of those who had been practicing a year or more, 42 sald they practiced yoga for fitness and flexibility, 57 to enhance their mindfulness, and 12 for relaxation and recovery. The data are summarized in the table below Observed Frequencies Why practice yoga? vs. How long have you practiced? Less 1 than 1 or more yearRow TOTAL Fitness & Flexibility | 33 | 42 | #31 Mindfulness 9 57 Relaxation&Recovery15; 12 Column Total | #32 6

Explanation / Answer

31) numebr of people =75

32) numebr of people =111

33)

expected =row total*column total/grand total =46.7697

34)

chi square =0.4864

35)

expected frequency =10.1629

36)

chi square contribution =1.3896

37)chi square test stat =contribution of all=10.158

38)

degree of freedom =(row-1)*(column-1)=(3-1)*(2-1)=2

39)

critical value =5.991

<1 Year >=1 year Total fitness and flexibility 33 42 75 mindfulness 19 57 76 relaxation 15 12 27 Total 67 111 178

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