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Students in an Introductory College Economics Class Were Asked How  Degree of Certainty  \text { Degree of Certainty }

question 99

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Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.                           Degree of Certainty  \text { Degree of Certainty }
 Credits Earned  Very Uncertain  Somewhat Certain  Very Certain Row Tot Under 10 1416646 10 through 591682044 60 or more 2142238 Col Total 423848128\begin{array} { |c | c | c | c | c | } \hline \text { Credits Earned }&{ \text { Very Uncertain } } & \text { Somewhat Certain } & { \text { Very Certain} } & \text { Row Tot } \\\hline \text {Under 10 } & 14 & 16 & 6 &46 \\\hline\text { 10 through 59} & 16& 8 & 20 & 44 \\\hline \text { 60 or more } & 2 & 14 & 22 & 38\\\hline \text { Col Total } & 42 & 38 & 48 & 128\\\hline\end{array} For a chi-square test of independence, the critical value for ? = .05 is:


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