Solve the Problem $46 \%$ ; (Ii) $54 \%$ ; (Iii) $170 \%$

question 4

Multiple Choice

Solve the problem.
-A study was conducted to determine whether flipping a penny or spinning a penny has an effect on the Proportion of heads. Among 56,126 trials, 25,586 involved flipping pennies, and 12,630 of those pennies turned Up heads. The other 30,540 trials involved spinning pennies, and 12,815 of those pennies turned up heads.
(i) What percentage of the trials involved flipping pennies?
(ii) What percentage of the trials involved spinning pennies?
(iii) Among the pennies that were flipped, what is the percentage that turned up heads?
(iv) Among the pennies that were spun, what is the percentage that turned up heads?
Round your answers to the nearest percent.

• A) (i) \(46 \%\); (ii) \(54 \%\); (iii) \(170 \%\); (iv) \(142 \%\)
• B) (i) \(54 \%\); (ii) \(46 \%\); (iii) \(49 \%\); (iv) \(42 \%\)
• C) (i) \(46 \%\);(ii) \(54 \%\);(iii) \(49 \%\); ((iv) \(42 \%\)
• D) (i) \(46 \%\);(ii) \(54 \%\);(iii) \(50 \%\); (iv) \(41 \%\)

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Definitions:

Commodity X

A placeholder name for a generic commodity or product in economic models or discussions.

Commodity Y

A generic placeholder term used to refer to any tradable item that satisfies wants or needs, but without specifying the item.

Marginal Rate of Substitution

The speed at which a consumer is prepared to exchange one product for a different one while keeping their level of satisfaction constant.

Snails

Slow-moving, gastropod mollusks with a spiral shell, some species of which are eaten as delicacy.