A Random Sample of 50 Employees of a Large Company

question 90

Essay

A random sample of 50 employees of a large company was asked the question, ʺDo you
participate in the companyʹs stock purchase plan?ʺ The answers are shown below. $$\begin{array} { l l l l l l l l l l } \text { yes } & \text { no } & \text { no } & \text { yes } & \text { no } & \text { no } & \text { yes } & \text { yes } & \text { no } & \text { no } \\\text { no } & \text { yes } & \text { yes } & \text { yes } & \text { no } & \text { yes } & \text { no } & \text { no } & \text { yes } & \text { yes } \\\text { no } & \text { yes } & \text { yes } & \text { no } & \text { yes } & \text { yes } & \text { no } & \text { yes } & \text { yes } & \text { yes } \\\text { yes } & \text { no } & \text { no } & \text { yes } & \text { yes } & \text { yes } & \text { yes } & \text { yes } & \text { no } & \text { yes } \\\text { no } & \text { yes } & \text { yes } & \text { no } & \text { yes } & \text { yes } & \text { yes } & \text { yes } & \text { yes } & \text { yes }\end{array}$$ Use a 90% confidence interval to estimate the proportion of employees who participate in
the companyʹs stock purchase plan.

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Definitions:

Continuous Random Variable

A type of random variable that can take an infinite number of possible values in a continuum or interval on the number line.

P(x > a)

Represents the probability of a random variable X taking a value greater than a specific number a.

P(x = a)

Represents the probability that a discrete random variable X takes on a specific value a.

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states across a number of trials or instances.