Following are observed frequencies. The null hypothesis is H₀: p₁=0.4, p₂=0.2, p3=0.15,p₄=0.1, p₅=0.15

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

Compute the expected frequencies.

Question

Following are observed frequencies. The null hypothesis is H₀: p₁=0.4, p₂=0.2, p3=0.15,p₄=0.1, 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}

Compute the expected frequencies.

Quizplus · Accepted Answer

To calculate the expected frequencies, multiply the total number of observations by the probability of each category under the null hypothesis. The total number of observations is $38 + 26 + 18 + 4 + 13 = 99$. Therefore, the expected frequencies are $99 \times 0.4 = 39.6$ for category 1, $99 \times 0.2 = 19.8$ for category 2, $99 \times 0.15 = 14.85$ for category 3, $99 \times 0.1 = 9.9$ for category 4, and $99 \times 0.15 = 14.85$ for category 5.

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} Category Observed ​138​226​318​44​513​​

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