A Quality Control Inspector Keeps a Tally Sheet of the Numbers

question 50

Essay

A quality control inspector keeps a tally sheet of the numbers of acceptable and unacceptable products that come off two different production lines. The completed sheet is shown below. $$\begin{array} { | c | c | c | } \hline \text { Production line } & \begin{array} { c } \text { Acceptable } \\\text { products }\end{array} & \begin{array} { c } \text { Unacceptable } \\\text { products }\end{array} \\\hline 1 & 152 & 48 \\\hline 2 & 136 & 54 \\\hline\end{array}$$ a. What is the p-value of the test?
b. Estimate with 95% confidence the difference in population proportions.

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Definitions:

Medicare

A government-funded health insurance scheme in the US designed for individuals aged 65 and above, select younger individuals with disabilities, and those suffering from End-Stage Renal Disease.

Full-time Employees

Workers who are considered to be employed on a full-time basis, typically working a minimum number of hours defined by their employer or by laws.

Preferred Provider Organization (PPO)

An organization of physicians who network together to offer discounts to purchasers of health care insurance.

Indemnity-type Insurance

Insurance that compensates for losses or damages rather than providing services.