To Continue the Study into the Drinking Habits of Adults $\mathrm { H } _ { 0 } : \mathrm { p } = 0.26$

question 52

Multiple Choice

To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "white collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is $\mathrm { H } _ { 0 } : \mathrm { p } = 0.26$ and the alternative hypothesis is $\mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.26$ . The researcher collected data from a random sample of 120 adults with "white collar" jobs of which 25 stated that they drank once a week or less in the last month. Assume that the conditions that must be met in order for us to use the $N ( 0,1 )$ distribution as the sampling distribution are satisfied. Find the values of the sample proportion, $\mathrm { p }$ , the test statistic, and the p-value associated with the test statistic. Round all values to the nearest thousandth.

• A) \(\hat { \mathrm { p } } = 0.30 , \mathrm { z } = 0.803 , \mathrm { p }\)-value \(= 0.041\)
• B) \(\hat { p } = 0.208 , z = - 1.290\), p-value \(= 0.098\)
• C) \(\hat { p } = 0.75 , z = - 1.32 , p\)-value \(= 0.599\)
• D) \(\hat { p } = 0.208 , z = - 0.250\), p-value \(= 0.401\)

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Definitions:

Conditioning

The process of learning associations between environmental stimuli and behavioral responses.

Psychodynamic Therapies

A group of therapies derived from psychoanalytic psychology that focus on unconscious processes and past conflicts as the root of current psychological issues.

Sigmund Freud

A neurologist from Austria who initiated psychoanalysis, which is a technique for addressing mental disorders through conversational therapy between a patient and a psychoanalyst.

Gestalt Therapies

A psychotherapeutic method that stresses the significance of personal accountability, centers on the current experiences of the individual, the interaction between the therapist and the client, the situational context of an individual's life including social and environmental factors, and the autonomous adaptations individuals undertake based on their comprehensive context.