A Researcher Believes That Children Who Attend Elementary School in a Rural

question 54

Multiple Choice

A researcher believes that children who attend elementary school in a rural setting are more physically active then children who attend elementary school in an urban setting. The researcher collects a random sample from each population and records the proportion of children in each sample who reported participating in at least one hour of rigorous activity a day. The data is summarized in the table below. Assume the all conditions for proceeding with a two- sample test have been met. Find the z- statistic (rounded to the nearest hundredth) and p- value (rounded to the nearest thousandth) for this hypothesis test. Using a 5% significance level, state the correct conclusion regarding the null hypothesis, H₀: p_rural = p_urban.

• A)z = 0.82, p = 0.073. There is sufficient evidence to accept the null hypothesis.
• B)z = - 1.79, p = 0.037. There is insufficient evidence to reject the null hypothesis.
• C)z = 1.79, p = 0.037. There is sufficient evidence to reject the null hypothesis.
• D)z = 0.71, p = 0.073. There is sufficient evidence to reject the null hypothesis.

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Definitions:

Intellectual Level

Refers to the cognitive ability of an individual including reasoning, problem-solving, and decision-making capacities.

Mental Age

A measure of an individual's cognitive ability expressed as the age at which an average person reaches the same level of cognitive performance.

Emotional Quotient

A measure of a person's ability to recognize, understand, and manage their own emotions and those of others.

Chronological Age

The actual age of a person or object as measured in years from the date of birth or creation.