A Multinomial Experiment With $\mathrm { k } = 4$ Cells And

Short Answer

A multinomial experiment with $\mathrm { k } = 4$ cells and $\mathrm { n } = 300$ produced the data shown in the following table.


Do these data provide sufficient evidence to contradict the null hypothesis that $\mathrm { p } _ { 1 } = 0.20 , \mathrm { p } _ { 2 } = 0.20$ , $p _ { 3 } = 0.30$ , and $p _ { 4 } = 0.30$ ? Test using $\alpha = 0.05$ .