A Researcher Wants to Know the Probability of Selecting a Student

question 46

Multiple Choice

A researcher wants to know the probability of selecting a student athlete from a school population where 5% of students are athletes.If the researcher selects a sample of 120 students,is it appropriate to use the normal approximation of the binomial distribution to estimate this probability?

• A) Yes, because the sample size is large.
• B) Yes, because nq is greater than 10.
• C) No, because np is greater than 10.
• D) No, because np is less than 10.

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Definitions:

Null Hypothesis

The default hypothesis that there is no significant difference or effect, used as a starting point for statistical hypothesis testing.

Test Statistic

A value calculated from sample data during a hypothesis test, used to make a decision about the null hypothesis.

Distribution

Refers to the way in which something is shared out among a group or spread over an area.

F Statistic

A value calculated during an ANOVA test that determines if the means of several groups are all equal, used to test the null hypothesis.