A Quality Control Inspector Keeps a Tally Sheet of the Numbers

question 69

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:

Annual

A plant that completes its life cycle, from germination to the production of seeds, within one year, and then dies.

Naphthalene Acetic Acid

A synthetic compound resembling naturally occurring auxins, used to stimulate plant growth and rooting.

Auxin

A class of plant hormones that play a crucial role in coordinating various growth and behavioral processes in the plant's life cycle.

Asexual Propagation

A method of reproducing new plants from the existing plant's parts rather than from seeds, involving processes such as cutting, grafting, or layering.