Using data from the 2000 census, a random sample of 348 U.S. residents aged 18 a

vetrila10 2021-11-16 Answered
Using data from the 2000 census, a random sample of 348 U.S. residents aged 18 and older was selected. The two-way table summarizes the relationship between gender and housing status for these residents.
\[\begin{array}{|c|c|}\hline & \text{Male} & \text{Female} & \text{Total} \\ \hline \text{Own} & 132 & 122 & 254 \\ \hline \text{Rent} & 50 & 44 & 94 \\ \hline \text{Total} & 182 & 166 & 348 \\ \hline \end{array}\]
Make a graph that displays the relationship between gender and housing status for the members of the sample. Briefly describe the association.

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Expert Answer

Froldigh
Answered 2021-11-17 Author has 1030 answers
Step 1
To determine the distribution of housing status by gender, we divide the counts by the column total.
\[\begin{array}{|c|c|}\hline & \text{Male} & \text{Female} \\ \hline \text{iPhone} & \frac{132}{182}\approx0.725=72.5\% & \frac{122}{166}\approx0.735=73.5\% \\ \hline \text{Android} & \frac{50}{182}\approx0.275=27.5\% & \frac{44}{166}\approx0.265=26.5\% \\ \hline \end{array}\]
Segment width of each bar has to be the same and the height has to be equal to the percent.
image
Step 2
The two bars do not look the same, thus there is possibly an association between gender and housing status.
We note that the blue part of the bar is slightly larger for female, which implies that females appear to be more likely to rent than males.
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