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Following Are Observed Frequencies  Category 12345 Observed 382618413\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}

question 20

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 .

 Category 12345 Observed 382618413\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 α\alpha =0.01 level of significance.

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