other. In a given population, 1000 people (aged at least 21 years old) are sampled and asked two questions: "Do you consider yourself as happy?" and “Are you involved in a relationship?" The answers are summarized in the following table. Would you reject independence of being happy and being in a relationship, with asymptotic level 5%? Compute Happy | Not happy In a relationship Not in a relationship 205 301 179 315 the p-value of the test.

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We would like to know whether the facts of being happy and being in a relationship are independent of each
other. In a given population, 1000 people (aged at least 21 years old) are sampled and asked two questions: “Do you
consider yourself as happy?" and “Are you involved in a relationship?" The answers are summarized in the following
table. Would you reject independence of being happy and being in a relationship, with asymptotic level 5%? Compute
Happy Not happy
In a relationship
Not in a relationship
205
301
179
315
the p-value of the test.
Transcribed Image Text:We would like to know whether the facts of being happy and being in a relationship are independent of each other. In a given population, 1000 people (aged at least 21 years old) are sampled and asked two questions: “Do you consider yourself as happy?" and “Are you involved in a relationship?" The answers are summarized in the following table. Would you reject independence of being happy and being in a relationship, with asymptotic level 5%? Compute Happy Not happy In a relationship Not in a relationship 205 301 179 315 the p-value of the test.
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