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Probability and Statistics- Week Six

Printable Version of this lesson board in PDF format

High School Probability and Statistics

Week 6 May 11-May 15

Weekly Packet

Math Objectives: Students will be able to:

  • use significance tests to assess provided data about proportions.

Self-Check / Formative Assessment
In 2005, researchers studied the physical fitness of adolescents aged 12 to 10 years. Of the 2205 randomly tested, 750 showed a poor level of cardiovascular fitness.

Does this sample provide support that more than 30% of adolescents have a low level of cardiovascular fitness?
Identify population, Identify sample

Create the null hypothesis, Create the alternate hypothesis

Draw a normal curve and determine area

Conclude by comparing p-value to alpha.

Resources/ Explanation Websites

Hypothesis Testing for Means and Proportions
Significance tests for proportions
Formula Sheets and Tables

Key Vocabulary / Formulas/ Things to Remember

Population: a set of similar items or events which is of interest for some question or experiment
Parameter: numbers that describe a population
Confidence Interval: defines a range of values that you can be ___% certain contains the population parameter.
Standard Deviation (standard error):


is the sample proportion
Null Hypothesis: the claim being tested (H0)
Alternative Hypothesis: the claim about the population that we are trying to find evidence for (Ha)

Sample: a set of individuals or objects collected or selected from a population
Statistic: number calculated from a sample
Confidence Level: refers to the percentage of all possible samples that can be expected to include the true population parameter.
P-value: The probability, computed assuming that H0 is true, that the sample outcome would be as extreme or more extreme than the observed outcome. The smaller the P-value, the stronger the evidence against H0 provided by the data.
Alpha: significance level (α). The probability of rejecting null hypothesis when it is true. AKA the probability of making a wrong decision.

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