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Probability and Statistics- Week Five

Printable Version of this lesson board in PDF format

High School Probability and Statistics

Week 4 April 27-May 1

Weekly Packet

Math Objectives: Students will be able to: 

  • use significance tests to assess provided data about proportions. 

Independent Practice 

Quizizz - Hypothesis Testing 

Quizizz - Drawing Conclusions 

 Self-Check / Formative Assessment 
The smoking rate for the general population is about 27%. You take a random sample of 785 college students and find that 194 smoke.  Is this sufficient evidence to think that the rate is different from that of the population?  
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. 

 

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):   

pˆ  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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