Chapter 10.7, Problem 12IP

a.

To determine

To find: The number would you expect to say friendships or immediate family are factors in their success.

Answer to Problem 12IP

The $582$ youths would be expected to credit friendships or immediate family.

Explanation of Solution

Given information:

Works and Carrier $=18$

Personal Development and Satisfaction $=38$

Friendships $=45$

Immediate Family $=52$

Make a Contribution to Society $=47$

Calculation:

  = $P\left(\mathrm{Friends}\mathrm{or}\mathrm{Family}\right)=\frac{\mathrm{respondents}\mathrm{who}\mathrm{chose}\mathrm{friends}\mathrm{or}\mathrm{family}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{respondents}}$

  = $\frac{45+52}{18+38+45+52+47}=\frac{97}{200}=0.485$

The probability is $0.485$ . Now we multiply that by larger sample

  $0.485\times 1200=582$

Thus, the $582$ youths would be expected to credit friendships or immediate family.

b.

To determine

To find: The number would you expect to say work and carrier or friendships are a factor in their success.

Answer to Problem 12IP

About $472or473$ youths would be expected to choose work and carrier and friendships.

Explanation of Solution

Given information:

Works and Carrier $=18$

Personal Development and Satisfaction $=38$

Friendships $=45$

Immediate Family $=52$

Make a Contribution to Society $=47$

Calculation:

  $P\left(\mathrm{Friends}\mathrm{or}\mathrm{work}\mathrm{and}\mathrm{carrier}\right)=\frac{\mathrm{respondents}\mathrm{who}\mathrm{chose}\mathrm{Friends}\mathrm{or}\mathrm{work}\mathrm{and}\mathrm{carrier}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{respondents}}$

  = $\frac{45+18}{18+38+45+52+47}=\frac{63}{200}=0.315$

The probability is $0.315$ . Now multiply that by larger sample

  $0.315\times 1200=472.5$

Thus, about $472or473$ youths would be expected to choose work and carrier and friendships.