The Managing Director of a Breakfast Cereal Manufacturer Believes That

question 64

Essay

The managing director of a breakfast cereal manufacturer believes that families in which both spouses work are much more likely to be consumers of his product than those with only one working spouse. To prove his point, he commissions a survey of 300 families in which both spouses work and 300 families with only one working spouse. Each family is asked whether the company's cereal is eaten for breakfast. The results are shown below. $$\begin{array} { | l | l | l | } \hline & \begin{array} { l } \text { Two spouses } \\\text { working }\end{array} & \text { One spouse working } \\\hline \text { Eat cereal } & 114 & 87 \\\hline \text { Don't eat cereal } & 186 & 213 \\\hline\end{array}$$ Do these data provide enough evidence at the 1% significance level to infer that the proportion of families with two working spouses who eat the cereal is at least 5% larger than the proportion of families with one working spouse who eats the cereal?

---

Definitions:

Male Menopause

A term sometimes used to describe the physical and psychological changes experienced by some middle-aged men, similar to menopause in women.

Brain Development

The process involving growth and change in the brain's structure, function, and cognitive abilities, occurring throughout life but most rapidly in early childhood.

Adulthood

The period in human life after adolescence, characterized by physical, psychological, and social maturity.

Impair Circulation

The reduction or obstruction of blood flow within the body, which may adversely affect health by limiting the delivery of oxygen and nutrients to tissues.