Criminologists Have Long Debated Whether There Is a Relationship Between$$\alpha = .01$$

Question

Examlex · Accepted Answer

The Answer is We test

H _ { 0 } : p _ { 1 } = p _ { 2 } = p _ { 3 } = p _ { 4 } = 25 ext { vs } H _ { \pm } :

at least one proportion

eq 25

. We will reject

H _ { 0 }

if the p-value <.01.

\begin{array} { c | c c c c } \hline ext { Cell } & 1 & 2 & 3 & 4 \\hline ext { Observed } & 338 & 345 & 382 & 335 \\left( n _ { i } ight) & & & & \ ext { Expected } & 350 & 350 & 350 & 350 \\left( n _ { i } p _ { i } ight) & & & & \\hline & .411 & .071 & 2.926 & .643 \\chi ^ { 2 } & & & & \ ext { term } & & & & \\hline\end{array}

\chi ^ { 2 } = \sum \frac { ( ext { observed - expected } ) ^ { 2 } } { ext { expected } }

= .411 + .071 + 2.926 +.643 = 4.051, and with 3 d.f., p-value >.10, so we fail to reject

H _ { 0 } .

The data fails to indicate a seasonal relationship with incidence of violent crime.

Criminologists Have Long Debated Whether There Is a Relationship Between $\alpha = .01$