Consider a Multinomial Experiment Involving 160 Trials and 4 Categories

question 47

Essay

Consider a multinomial experiment involving 160 trials and 4 categories (cells). The observed frequencies resulting from the experiment are shown in the following table. $$\begin{array} { | l | c | c | c | c | } \hline \text { Category } & 1 & 2 & 3 & 4 \\\hline \text { Frequency } & 53 & 35 & 30 & 42 \\\hline\end{array}$$ Use the 10% significance level to test the hypotheses. $H _ { 0 } : p _ { 1 } = p _ { 2 } = p _ { 3 } = p _ { 4 }$ .
H_A: At least two proportions differ from their specified values.

---

Definitions:

Chart of Accounts

A systematic listing of all accounts used in the accounting system of a company, categorizing all financial transactions.

Net Income

Represents the total earnings of a company after all expenses and taxes have been deducted from revenue.

Trial Balance

A bookkeeping worksheet in which the balances of all ledgers are compiled into debit and credit account column totals that are equal.

Credit Column

In accounting, the column in ledgers or financial statements where credits are recorded, typically indicating a decrease in assets or an increase in liabilities.