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A Multinomial Experiment With k=4\mathrm { k } = 4 Cells And

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A multinomial experiment with k=4\mathrm { k } = 4 cells and n=300\mathrm { n } = 300 produced the data shown in the following table.

 A multinomial experiment with  \mathrm { k } = 4  cells and  \mathrm { n } = 300  produced the data shown in the following table.    Do these data provide sufficient evidence to contradict the null hypothesis that  \mathrm { p } _ { 1 } = 0.20 , \mathrm { p } _ { 2 } = 0.20 ,  p _ { 3 } = 0.30 , and  p _ { 4 } = 0.30  ? Test using  \alpha = 0.05 .
Do these data provide sufficient evidence to contradict the null hypothesis that p1=0.20,p2=0.20\mathrm { p } _ { 1 } = 0.20 , \mathrm { p } _ { 2 } = 0.20 , p3=0.30p _ { 3 } = 0.30 , and p4=0.30p _ { 4 } = 0.30 ? Test using α=0.05\alpha = 0.05 .


Definitions:

Experimenter Bias

A form of bias introduced by the researcher's expectations or preferences affecting the outcome of an experiment.

Information Processing

The methods by which humans and computers take in, use, and output information, involving stages like perception, analysis, and memory.

Visual Recognition Memory

The ability to recognize previously seen items or individuals, involving processes related to the visual perception and memory systems.

Developmental Measures

Methods or tools used to assess the progress of a child's development in various areas such as cognitive, emotional, and physical growth.

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