Identify and explain three main uses of statistics.

Identify and discuss the thinking that should go into deciding on a sample size that will provide credible research results.

Patrick Harrigan owned 200 shares of Marsh Company's convertible preferred stock at $12 par value. He converted each share of preferred stock into two shares of common stock. If the convertible preferred stock paid 8% annually and the common stock pays $0.60 a share this year, how much more dividend will Patrick Harrigan receive this year because of his conversion.

Statistics Canada gives the following mortality data for Canada in 2011. $$\begin{array}{lc}\text{ Cause of Death }& \text{ Percent }\\ \text{ Cancer }& 29.9\\ \text{ Heart disease }& 19.7\\ \text{ Stroke }& 5.5\\ \text{ Respiratory diseases }& 4.6\\ \text{ Accidents }& 4.4\end{array}$$ Is it reasonable to conclude that cancer or accidents were the cause of approximately 34.3% of deaths in 2011?

A) No,because the percentages do not add up to 100%.
B) Yes,because these categories do not overlap.
C) Yes,because the percentages can always be added in relative frequency tables.
D) No,because the percentages in relative frequencies tables can never be added.
E) No,because these categories overlap.

A(n)____________________ distribution lists the categories of a nominal variable and the proportion with which each occurs.