Question

​a) What percent of all applicants were​ Asian? The percent of all applicants who were Asian is nothing​%. ​(Round to one decimal place as​ needed.) ​b) What percent of the students accepted were​ Asian? The percent of students accepted who were Asian is nothing​%. ​(Round to one decimal place as​ needed.) ​c) What percent of Asians were​ accepted? The percent of Asians who were accepted is nothing​%. ​(Round to one decimal place as​ needed.) ​d) What percent of all students were​ accepted? The percent of all students who were accepted is nothing​%. ​(Round to one decimal place as​ needed.)

Answer 1

Answer:

Follows are the solution to this question:

Step-by-step explanation:

The missing data is defined in the attached file please find it.

Given:

                                            Admission Status

$\left\begin{array}{ccccc}Ethnography &Acceptable \ Approval &Waitlisted & Turned \ Away & Total\\\\ Hispanic/ Black & 51 &206&143 & 400 \\Asia &57&289&100&446\\White& 62&222&145&429\\ Total & 170& 717& 388& 1275\end{array}\right$

In point A:

The overall percent of applicants, which is Asia:

$= \frac{446}{1275} \\\\ = 0.3498039 \approx 34.98 \%$

In point B:

The overall percent of the students, who admitted to Asia:

$P(accepted\ Asian) = P( \frac{Placcepted \ Asian}{Asian})$

                              $= \frac{\frac{57}{1275}}{\frac{446}{1275}} \\\\= \frac{57}{1275} \times \frac{1275}{446} \\\\= \frac{57}{446} \\\\= 0.1278027\approx 12.78 \%$

In point C:

The Asian percentage approved:  

$P(Asian/accepted) =\frac{P(accepted, Asian)}{P(accepted)}$

                                $=\frac{\frac{57}{1275}}{\frac{170}{1275}} \\\\= \frac{57}{1275} \times \frac{1275}{170} \\\\= \frac{57}{170} \\\\= 0.3352941\approx 33.52%$

In point D:

The number of all students admitted:

$=\frac{170}{1275}\\\\= 0.13333 \\\\= 13.33%$