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Use the Following Information to Answer the Question  Days of outdoor activity ( 30 minutes or more) \text { Days of outdoor activity ( } 30 \text { minutes or more) }

Question 44

Essay

Use the following information to answer the question. The data in the top row of the table shows the number of days for which the respondent participated in an outdoor activity for at least thirty minutes in the previous 60 days. The respondents also reported their level of happiness; Very H means very happy, and so on.  Days of outdoor activity ( 30 minutes or more) \text { Days of outdoor activity ( } 30 \text { minutes or more) }
 Level of  Happiness012345+ Very H 81217192124 Fairly H 4525142530 Not very H 466301 Not H 756101\begin{array}{ll}\begin{array}{|l|}\hline \text { Level of }\\\text { Happiness}\\\hline \end{array}&\begin{array}{l|c|c|c|c|c|c}&0&1&2&3&4&5+\\\hline\text { Very H } & 8 & 12 & 17 & 19 & 21 & 24 \\\text { Fairly H } & 4 & 5 & 25 & 14 & 25 & 30 \\\text { Not very H } & 4 & 6 & 6 & 3 & 0 & 1 \\\text { Not H } & 7 & 5 & 6 & 1 & 0 & 1\end{array}\\\end{array}
-The following table shows the data after merging categories so that there are two column categories (0-2 days of outdoor activity of at least thirty minutes and 3 or more days of outdoor activity of at least thirty minutes), and two row categories (happy and unhappy). Expected values for each cell are also shown in parenthesis. Test the hypothesis that there is an association between happiness and with level of daily outdoor activity in the last 60 days, using a significance level of 0.05. State the value of the test statistic rounded to two decimal places, state whether the p-value is closer to zero or one. 02 days of  outdoor activity  3+ days of  outdoor activity  Happy 71133(87.787)(116.21) Unhappy 346(17.213)(22.787)\begin{array} { l | l | l } & \begin{array} { l } 0 - 2 \text { days of } \\ \text { outdoor activity } \end{array} & \begin{array} { l } \text { 3+ days of } \\ \text { outdoor activity } \end{array} \\ \hline \text { Happy } & 71 & 133 \\ & ( 87.787 ) & ( 116.21 ) \\ \hline \text { Unhappy } & 34 & 6 \\ & ( 17.213 ) & ( 22.787 ) \end{array}

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