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To Continue the Study into the Drinking Habits of Adults H0:p=0.26\mathrm { H } _ { 0 } : \mathrm { p } = 0.26

question 6

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To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is H0:p=0.26\mathrm { H } _ { 0 } : \mathrm { p } = 0.26 and the alternative hypothesis is Ha:p>0.26\mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.26 . The researcher collected data from a random sample of 90 adults with "blue collar" jobs of which 30 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) \mathrm { N } ( 0,1 ) distribution as the sampling distribution are satisfied. Find the values of the sample proportion, p^\hat { p } , the test statistic, and the p-value associated with the test statistic. Round all values to the nearest thousandth.

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Definitions:

Subjective Reasoning

Subjective reasoning involves making judgments based on personal feelings, opinions, and experiences instead of objective evidence.

Evolution

Change in a line of descent.

Reproduction

Reproduction is the biological process by which new individual organisms are generated, ensuring the continuation of a species.

Development

The process by which an organism grows and changes over time, involving both physical and physiological maturation.

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