Consider a multinomial experiment involving 100 trials and 3 categories (cells).The observed frequencies resulting from the experiment are shown in the accompanying table. 
Use the 5% significance level to test the hypotheses H0: p1 = .45,p2 = .30,p3 = .25 vs.H1: At least one proportion differs from their specified values.
Definitions:
P-Value
The probability of obtaining an observed sample result, or more extreme, assuming the null hypothesis is true.
F Statistic
Used in hypothesis testing, it quantifies the ratio between the variance explained by the model and the variance unexplained, assisting in evaluating the overall significance of a model.
Training Programs
Structured educational processes designed to enhance individual skills, knowledge, and competencies, often related to specific jobs or tasks.
P-Value
The probability of obtaining test results at least as extreme as the ones observed, assuming that the null hypothesis is true.
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