The Table Below Shows a Distribution and the Observed Frequencies

question 8

Essay

The table below shows a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. Perform a chi-square goodness-of-fit test, at the specified significance level, to decide whether the distribution of the variable differs from the given distribution.

$\begin{array} { l c c c c c } \text { Distribution: } & 0.25 & 0.15 & 0.15 & 0.15 & 0.3 \\ \text { Observed frequencies: } 28 & 13 & 14 & 17 & 28 \\ \text { Significance level = 0.01 } & & & & \end{array}$

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Definitions:

Luxuries

Goods or services that are considered non-essential but desirable and are often associated with high quality and a high price.

Necessities

Essential needs required for basic human survival and well-being, such as food, water, and shelter.

Entering U.S.College Students

Entering U.S. college students refers to individuals beginning their undergraduate education in colleges or universities in the United States.

Wealthy

Having an abundance of financial resources or valuable possessions, which affords a person or entity a high standard of living.