Cumulative Assessment
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Start by finding the marginal frequencies for the two-way table. Then calculate the conditional relative frequencies based on rows.
Yes, see solution.
We will begin by looking at the two-way table that shows the result of a survey that asked the students in our grade whether they have a cell phone.
We can now use conditional relative frequencies to determine whether our friend is correct. The conditional relative frequency is the ratio of a joint frequency and either of its corresponding marginal frequencies. In this case, we must use conditional relative frequencies based on row totals.
Let's simplify the ratios.
From the table, we can see that about 69 % of males have cell phones. Conversely, about 65 % of females have cell phones. Therefore, our friend's claim that a greater percent of males in our grade have cell phones than females is correct.