The Result of a Hypothesis Is Described in Terms of the Probability

question 131

Essay

The result of a hypothesis is described in terms of the probability of obtaining a particular sample. Use the given contextto formulate the null and alternative hypotheses. Discuss whether the sample provides evidence for rejecting the nullhypothesis.
-The mean resting heart rate for students at Northridge College is 72 beats per minute. An exercise physiologist believes that for athletes, the mean resting heart rate will be lower.
She finds that for a random sample of 55 athletes at the college, the mean resting heart rate is 71 beats per minute.
Assuming that the mean resting heart rate for all athletes at the college is 72 beats per minute, the probability of selecting a random sample with a mean of 71 or less beats per minute is $0.14$ .

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Definitions:

Decision-Making

Decision-Making involves selecting the best option from a set of alternatives based on criteria, often requiring problem-solving and critical thinking.

Information

Data that has been processed, organized, or structured in a way that it provides value or meaning.

Categorical Variable

A type of variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.

Marital Status

Marital status is a legally defined marital state that individuals fall under, such as single, married, divorced, or widowed, often used in demographic studies.