Following Are Observed Frequencies $\begin{array} { l | l l l l l } \text { Category } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 38 & 26 & 18 & 4 & 13\end{array}$

Short Answer

Following are observed frequencies. The null hypothesis is H₀: p₁=0.3, p₂=0.2, p₃=0.2, p₄=0.15, p₅=0.15 .

$\begin{array} { l | l l l l l } \text { Category } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 38 & 26 & 18 & 4 & 13\end{array}$

i). Compute the expected frequencies.
ii). Compute the value of X².
iii). How many degrees of freedom are there?
iv). Test the hypothesis that the distribution of the observed frequencies is as given by the null hypot] the $\alpha$ =0.01 level of significance.