A Random Sample of 100 Students at a High School

question 30

Essay

A random sample of 100 students at a high school was asked whether they would ask their father or mother for
help with a homework assignment in science. A second sample of 100 different students was asked the same
question for an assignment in history. If 43 students in the first sample and 47 students in the second sample
replied that they turned to their mother rather than their father for help, test the claim whether the difference
between the proportions is due to chance. Use α = 0.02.

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Definitions:

Encoding

The process of converting information or data into a specific format for efficient processing, storage, or transmission.

Response

The reaction or reply to a stimulus or situation, which can be observed in various contexts such as customer feedback or biological reactions.

Speaker

An individual who delivers speeches or presentations to an audience, providing information, perspectives, or insights on various topics.

Communication Channel

A medium through which information is transmitted from one entity to another, encompassing verbal, non-verbal, and digital methods.