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Instruction 15-1 A Large Organization Randomly Selects 150 Employees and Finds That

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Instruction 15-1
A large organization randomly selects 150 employees and finds that 66% who have never taken a professional-development course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 employees wanted a professional-development course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a professional-development course in the recent study and the past study, respectively.
-Referring to Instruction 15-1,what is the critical value when testing whether population proportions are different if α = 0.10?

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Definitions:

Continuity Correction

An adjustment made when approximating a discrete distribution with a continuous one, particularly relevant when making inferences about binomial distribution using normal approximation.

Null Hypothesis

A statement in statistics that suggests there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.

Wilcoxon Signed Rank Test

A non-parametric statistical test used to compare two related samples to determine if their population mean ranks differ.

Null Hypothesis

The presumption of no association or effect between variables until evidence indicates otherwise, used as a benchmark for statistical significance testing.

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