Use the summary table on the bottom right corner According to a recent poll for

Question

Use the summary table on the bottom right corner

According to a recent poll for two countries Z and Y, the percentage of workers in country Z that are engaged with their workplace is more than twice as high as the percentage of workers in country Y that are engaged with their workplace. Use the results from the poll, which are summarized in the table, to answer (a) through (d) below Click the icon to view the data table a. Given that a worker is from country Z, what is the probability that the worker is engaged? (Round to four decimal places as needed.) b. Given that a worker is from country Z, what is the probability that the worker is not engaged? (Round to four decimal places as needed.) c. Given that the worker is from country Y, what is the probability that the worker is engaged? (Round to four decimal places as needed.) d. Given that a worker is from country Y, what is the probability that the worker is not engaged? (Round to four decimal places as needed.) summary table COUNTRY ENGAGEMENT Engaged Not engaged Total 698 1,301 1,999 Total 1,042 1,655 2,956 1,999 3,998 344 Enter your answer in each of the answer boxes. Save for Later

Explanation / Answer

a)

p( Engaged | Country Z ) = P( Engaged AND Country Z ) / P(Country Z

= 698 / 1999

= 0.3492

b)

P(Not engaged | country Z ) = P( Not engaged AND country Z) / p(country Z)

= 1301 / 1999

= 0.6508

c)

P( Engaged | Country Y ) = P( Engaged AND Country Y ) / P(Country Y)

= 344/1999

= 0.1721

d)

P(Not engaged | country Y ) = P( Not engaged AND country Y) / p(country Y)

= 1655/1999

= 0.8279

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.