A Powerful Women's Group Has Claimed That Men and Women $H _ { 0 } : \pi _ { M } - \pi _ { W } \leq 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } > 0$

question 225

Multiple Choice

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States.Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem.Assuming W designates women's responses and M designates men's, which of the following are the appropriate null and alternative hypotheses to test the group's claim?

• A)\(H _ { 0 } : \pi _ { M } - \pi _ { W } \leq 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } > 0\)
• B)\(H _ { 0 } : \pi _ { M } - \pi _ { W } \geq 0 \text { versus } H _ { 1 } : \pi _ { Y } - \pi _ { W } < 0\)
• C)\(H _ { 0 } : \pi _ { M } - \pi _ { W } = 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } \neq 0\)
• D)\(H _ { 0 } : \pi _ { M } - \pi _ { W } \neq 0 \leq 0 \text { versus } H _ { 1 } : \pi _ { M } - \pi _ { W } = 0\)

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Definitions:

Comprehensive Income

The total change in equity for a business enterprise during a period from transactions and other events from non-owner sources.

Cash Income

Income received in the form of money as opposed to in-kind benefits or services, often considered for taxation and reporting purposes.

Official Poverty Line

A government-determined threshold of income used to measure and identify the population that lives in poverty, often adjusted for inflation and family size.

Department of Agriculture

A government agency responsible for developing and executing federal laws related to farming, forestry, rural economic development, and food.