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Following Are Observed Frequencies H0:p1=0.35,p2=0.3H _ { 0 } : p _ { 1 } = 0.35 , p _ { 2 } = 0.3

question 23

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Following are observed frequencies. The null hypothesis is H0:p1=0.35,p2=0.3H _ { 0 } : p _ { 1 } = 0.35 , p _ { 2 } = 0.3 , p3=0.1,p4=0.15,p5=0.1p _ { 3 } = 0.1 , p _ { 4 } = 0.15 , p _ { 5 } = 0.1 .
 Category 12345 Observed 5132111316\begin{array}{l|lllll}\text { Category } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 51 & 32 & 11 & 13 & 16\end{array}

Test the hypothesis that the distribution of the observed frequencies is as given by the nul hypothesis. Use the α=0.01\alpha = 0.01 level of significance.


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