A study is being conducted to test if there is a relationship between drink preferences and average amount of stress levels ranked low, medium, and high. 40 random subjects were asked to choose the beverage they would most likely drink when planning for an all-nighter. The observed frequencies are shown below. With 0.05 level of significance, prove that the categories are somehow dependent. Coffee Tea Choco Low 4 5 5 Medium 5 3 6 High 7 3 2 16 11 13

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A study is being conducted to test if there is a relationship between drink preferences and average amount of stress levels ranked low, medium, and high. 40 random subjects were asked to choose the beverage they would most likely drink when planning for an all-nighter. The observed frequencies are shown below. With 0.05 level of significance, prove that the categories are somehow dependent.

40
What is the statistic/type of hypothesis testing to be used in this problem? *
Two Sample Z Test
Two Sample Pooled Variance t Test
Two Sample Separate Variance t Test
Chi-square test of independence
Chi-square goodness of fit test
41
What is the null and alternative hypothesis
A person's preferred beverage is independent from their stress levels; A person's preferred beverage is
dependent from their stress levels.
The difference between a person's preferred beverage is EQUAL to their stress levels (Ho: 01-02 = 0); the
difference between the preferred beverage is NOT EQUAL to their stress levels (Ho: 01-02 # 0)
Transcribed Image Text:40 What is the statistic/type of hypothesis testing to be used in this problem? * Two Sample Z Test Two Sample Pooled Variance t Test Two Sample Separate Variance t Test Chi-square test of independence Chi-square goodness of fit test 41 What is the null and alternative hypothesis A person's preferred beverage is independent from their stress levels; A person's preferred beverage is dependent from their stress levels. The difference between a person's preferred beverage is EQUAL to their stress levels (Ho: 01-02 = 0); the difference between the preferred beverage is NOT EQUAL to their stress levels (Ho: 01-02 # 0)
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Caselet 2
A study is being conducted to test if there is a relationship between drink preferences and average amount of
stress levels ranked low, medium, and high. 40 random subjects were asked to choose the beverage they would
most likely drink when planning for an all-nighter. The observed frequencies are shown below. With 0.05 level of
significance, prove that the categories are somehow dependent.
Coffee
Tea
Choco
Low
4
5
5
14
Medium
5
3
6
14
High
7
3
2
12
16
11
13
40
Transcribed Image Text:a.com Caselet 2 A study is being conducted to test if there is a relationship between drink preferences and average amount of stress levels ranked low, medium, and high. 40 random subjects were asked to choose the beverage they would most likely drink when planning for an all-nighter. The observed frequencies are shown below. With 0.05 level of significance, prove that the categories are somehow dependent. Coffee Tea Choco Low 4 5 5 14 Medium 5 3 6 14 High 7 3 2 12 16 11 13 40
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