# Activities

• • • ##### Subject Area

• Math: Statistics: Inferential Statistics

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-83
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 8 from the EXPLORATIONS Book:
Statistics Handbook for the TI-83

## Testing Hypotheses (Means, Proportions, and Standard Deviations)

#### Activity Overview

In this activity, students evaluate hypotheses.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 89 - 100 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

Testing Hypothesis of a Population Mean:

• Store the data as a list
• Calculate the z value if the standard deviation is known, else find the t value
• Check whether the t or z values are positive or negative
• Determine the p-value and evaluate the hypothesis

• Testing Hypothesis of a Population Proportion:
• Decide if you can use a normal distribution to approximate the binomial
• Enter the values
• Calculate the z-score
• Determine the p-value and evaluate the hypothesis

• Testing Hypothesis of a Normal Population Standard Deviation:
• Enter the data
• Realize that if the data is normally distributed, the sampling distribution is chi-square distributed
• Determine the left-tail probability of the chi-square distribution [the p-value]
• Evaluate the hypothesis on the basis of the p-value

• Testing Hypothesis of Two Population Means:
• Store the data as lists
• Enter the values for means, standard deviations, and sample sizes
• Perform a two-sample T test, if the standard deviations are known
• Perform a two-sample Z test, if the standard deviations are unknown
• Determine the p-value and evaluate the hypothesis

• Testing Hypothesis of Two Population Proportions:
• Enter the values to calculate the proportion
• Determine the p value to evaluate the hypothesis
• Calculate the pooled proportion and the standard score

• Testing Hypothesis of Standard Deviations of Two Normal Populations:
• Sort the data and store it in lists
• Determine the p and F values and evaluate the hypothesis
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary