Use the Following Information to Answer the Question $\text { Vacation days taken in last } 90 \text { days }$

question 59

Multiple Choice

Use the following information to answer the question. The data in the top row of the table shows the number of vacation days taken by the respondent in the previous 90 days. The respondents also reported their level of happiness; Very H means very happy, and so on. $\text { Vacation days taken in last } 90 \text { days }$
$\begin{array}{l|c|c|c|c|c|c}&0&1&2&3&4&5+\\\hline\text { Very H } & 9 & 15 & 20 & 25 & 31 & 37 \\\text { Fairly H } & 5 & 8 & 26 & 35 & 48 & 50 \\\text { Not very H } & 6 & 6 & 4 & 2 & 1 & 2 \\\text { Not H } & 5 & 7 & 5 & 3 & 0 & 1\end{array}$
-The following table shows the data after merging categories so that there are two column categories (0-1 vacation days and 2 or more vacation days) , and two row categories (happy and unhappy) . Expected values for each cell are also shown in parentheses. Test the hypothesis that there is an Association between happiness and number of vacation days taken in the last 90 days, using a Significance level of 0.05. State the value of the test statistic rounded to two decimal places and state Whether the p-value is closer to zero or one. $\begin{array}{l|l|l} & 0-1 \text { vacation days } & 2+\text { vacation days } \\\hline \text { Happy } & 37 & 272 \\& (53.701) & (255.3) \\\hline \text { Unhappy } & 24 & 18 \\& (7.2991) & (34.701) \end{array}$

• A) \(\chi ^ { 2 } = 4.22\); The p-value will be close to zero.
• B) \(\chi ^ { 2 } = 52.54\); The \(p\)-value will be close to zero.
• C) \(\chi ^ { 2 } = 4.22\); The \(p\)-value will be close to one.
• D) \(\chi ^ { 2 } = 52.54\); The p-value will be close to one.

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Definitions:

Stage of Change

A component of the Transtheoretical Model that describes an individual's readiness to act on a new healthier behavior, with stages ranging from precontemplation to maintenance.

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The process of medical or psychotherapeutic treatment for dependency on psychoactive substances.

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