A Manager of a Health Club Believes That 32% of the Members

question 39

True/False

A manager of a health club believes that 32% of the members joined his club in the winter, 24% joined in
the spring, 20% joined in the summer, and 24% joined in the fall. The number of memberships this year
shows that 110 joined in the winter, 70 joined in the spring, 60 in the summer, and 68 in the fall. The test value for this scenario would be 2.05.

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Definitions:

Significance Level

A threshold for determining whether a statistical result obtained is not attributed to chance, commonly set at values like 0.05, indicating a 5% risk of error.

Statistically Significant

A measure used to determine if the results of a study are unlikely to have occurred by random chance alone, often through a p-value.

Confidence Interval

A collection of values, drawn from sample data, that is presumed to capture the value of a not yet known population characteristic.

National Average

The average of a specific set of measurements or data points across the entire nation.