Suppose the Proportion of Women Who Follow a Regular Exercise $\mathrm { P } _ { \mathrm { W } }$

question 28

Multiple Choice

Suppose the proportion of women who follow a regular exercise program is $\mathrm { P } _ { \mathrm { W } }$ and the proportion of men who follow a regular exercise program is $\mathrm { Pm }$ .A study found a 98% confidence interval for $p _ { w } - p _ { m }$ is ( $- 0.028,0.114 )$ . Give an interpretation of this confidence interval.

• A)We are 98% confident that the proportion of women who follow a regular exercise program is between 2.8% less and 11.4% more than the proportion of men who follow a regular exercise program.
• B)We know that 98% of women exercise between 2.8% less and 11.4% more than men.
• C)We know that 98% of men exercise between 2.8% less and 11.4% more than women.
• D)We are 98% confident that the proportion of men who follow a regular exercise program is between 2.8% less and 11.4% more than the proportion of women who follow a regular exercise program.
• E)We know that 98% of all random samples done on the population will show that the proportion of women who follow a regular exercise program is between 2.8% less and 11.4% more than the proportion of men who follow a regular exercise program.

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Definitions:

Barry Schwartz

An American psychologist famous for exploring the social and psychological effects of free choice.

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An approach that considers the whole system, including physical, psychological, social, and environmental factors, rather than just its parts.