Given the Contingency Table Shown Here, If a Randomly Chosen $$\text { What type of school do you attend? }$$

question 42

Multiple Choice

Given the contingency table shown here, if a randomly chosen student attends a religious school, what is the probability the location is rural?
$$\text { What type of school do you attend? }$$
$\begin{array}{|c|c|c|c|c|}\hline \text { Location } &\text { Public }(P) & \text { Religious }(R) & \text { Other Private }(O) & \text { Row Total } \\\hline \text { Inner City (I) }&35 & 15 & 20&70 \\\hline \text { Sububan (S) }&45 & 10 & 25&80 \\\hline \text { Rural (R) }&25 & 5 & 5&35 \\\hline \text { Col Total }& 105 & 30 & 50&185 \\\hline\end{array}$

• A).142
• B).162
• C).167
• D).333

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Definitions:

Two-tailed Test

A statistical test hypothesis where the area of interest is in both tails of the probability distribution, testing for the possibility of an effect in two directions.

One-tail Area

The probability in the tail of a distribution in a one-tailed test.

P-value

The chance of witnessing outcomes from a test that are as extreme or more extreme than what was actually seen, given the presupposition that the null hypothesis holds.

Confidence Interval

A set of numbers resulting from the statistical examination of a sample, expected to encompass the value of an undetermined parameter of the overall population.