A psychologist set up an experiment to study the tendency of a person to select the first item when presented

Question

A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p ?

Accepted Answer

Choice D is correct. Of the first 150 participants, 36 chose the first picture in the set, and of the 150 remaining participants, p chose the first picture in the set. Hence, the proportion of the participants who chose the first picture in the set is $the fraction with numerator 36 plus p, and denominator 300$ . Since more than 20% of all the participants chose the first picture, it follows that $the fraction with numerator 36 plus p, and denominator 300, is greater than 0 point 2 0$ .

This inequality can be rewritten as $p plus 36, is greater than, 0 point 2 0 times 300$ . Since p is a number of people among the remaining 150 participants, $p is less than or equal to 150$ .

Choices A, B, and C are incorrect and may be the result of some incorrect interpretations of the given information or of computational errors.

Question a-psyc

A psychologist set up an experiment to study the tendency of a person to select the

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