Use the Following Information to Answer the Question

question 10

Essay

Use the following information to answer the question. A child psychologist believes that controlled physical outbursts of anger (like punching a pillow)may improve the mood of young boys with emotional impairment. He believes that the proportion of boys that would benefit from this treatment is greater than the proportion of girls. A random sample from each population receives counseling in the treatment and is asked about their mood after an episode (x is the number of test subjects that reported an improvement in mood). The results of the study are summarized in the table below.

-Assuming the conditions for a two proportion z- test hold, state the alternative hypothesis then find the observed test statistic and p- value. State your decision regarding the null hypothesis, H0: p1 = p2. How do the test results compare to the expectations of the psychologist? Round to the nearest hundredth.

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Definitions:

Single Intelligence

The theory or belief that intelligence is a single, general ability that can be measured and quantified.

Mental Capacities

The various faculties of the mind, such as understanding, reasoning, thought, memory, and the ability to learn.

David Wechsler

A psychologist best known for developing several widely used intelligence tests, including the Wechsler Adult Intelligence Scale.

Howard Gardner

An American developmental psychologist best known for his theory of multiple intelligences, which proposes that people have different kinds of intelligences, not just a single general intelligence.