Use the Following Information to Answer the Question $\begin{array}{l}\chi^{2}-\text { Test } \\X^{2}=18.97796143 \\p=1.3223704 E-5 \\d f=1 \\\end{array}$

Essay

Use the following information to answer the question. There are those who believe that identical twins have a psychic connection. Skeptics of this belief conducted an experiment to see if identical twins had some kind of psychic connection. A twin was placed at random behind on of four similar doors and three other non-related people were placed behind the other three doors. The other twin was asked to identify which door their sibling was behind. The results of the experiment are summarized below, along with the output for the goodness-of-fit test. $\begin{array}{l|c|c} & \begin{array}{c} \text { Correctly identified the door } \\ \text { concealing the twin } \end{array} & \begin{array}{c} \text { Incorrectly identified the } \\ \text { door concealing the twin } \end{array} \\ \hline \text { Observed } & 51 & 70 \\ \hline \text { Expected } & 30.25 & 90.75 \end{array}$ $\begin{array}{l}\chi^{2}-\text { Test } \\X^{2}=18.97796143 \\p=1.3223704 E-5 \\d f=1 \\\end{array}$
-The table below shows the gender and the percentage of each gender that spent different amounts at a local book store. The data was taken from a random sample of single shoppers collected over five consecutive Saturdays at the book store. Can a chi-square test be done with this data?
Explain why or why not. $$\begin{array} { | l | c | c | c | } \hline & \$ 0 - \$ 20 & > \$ 20 - \$ 50 & > \$ 50 \\ \hline \text { Male shopper } & 36 \% & 42 \% & 22 \% \\ \hline \text { Female shopper } & 67 \% & 21 \% & 12 \% \\ \hline \end{array}$$