 # A survey is done of customers at a coffee shop to determine whether there is any difference in the type of dri ordered based on the gender of the cust sodni3 2020-10-25 Answered
A survey is done of customers at a coffee shop to determine whether there is any difference in the type of dri
ordered based on the gender of the customers. $\begin{array}{|ccccc|}\hline & \text{Coffea}& \text{Tea}& \text{Cold drink}& \text{Total}\\ \text{Men}& 80& 76& 34& 190\\ \text{Women}& 55& 39& 66& 160\\ \text{Total}& 135& 115& 100& 350\\ \hline\end{array}$ What is the probability that a customer in the survey is female given that she ordered cold drink?
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Step 1 Two-way tables are used in statistical analysis to summarize the relationship between two categorical variables. These tables are also termed as contingency or cross-tab tables. The levels of one categorical variable are entered as the rows in the table and the levels of the other categorical variable are entered as the columns in the table. Step 2 The total female ordered all the dri
is 160 and ordered only cold drink is 66. Divide 66 by 160 to obtain the probability. $\text{Probability}=\frac{66}{160}$
$=0.4125$ Therefore the probability for female who ordered cold drink is 0.4125