Final Answer:
The test statistic for a multinomial test of proportions is Chi-square test.
The correct option is 2.
Explanation:
The test statistic employed for a multinomial test of proportions is the Chi-square test. This statistical method is specifically designed to evaluate the variation between observed and expected frequencies in categorical data across multiple groups or categories.
In a multinomial test of proportions, the Chi-square test assesses if there is a significant difference between the observed and expected frequencies, helping to determine whether the proportions within the various categories significantly deviate from what would be expected by chance.
The Chi-square test is well-suited for analyzing categorical data and is particularly useful in understanding associations between categorical variables and detecting departures from expected distributions.
So, the correct option is 2.