Activity Overview
Students understand how tests of significance can be performed with confidence intervals. They use a simulation to clarify the meaning of a hypothesis. Students examine large sample tests for a proportion, mean, difference between two proportions, and difference between two means. They also study tests for fit, homogeneity of proportions, and independence.

Before the Activity
Install the Statistics with List Editor application on the calculator using one of these two methods:

TI Connect™ , a TI Connectivity Cable, and the Unit-to-Unit Link Cable
TI-Navigator™ "send to class" feature
See the attached PDF file for detailed instructions for this activity
Print pages 149 - 161 from the attached PDF file for your class

During the Activity
Distribute the pages to the class.
Follow the Activity procedures:
Large Sample Test for a Proportion:

Identify the null and the alternate hypothesis
Use a normal distribution to approximate the binomial
Determine the p-value and the z-value
Use the p-value to accept or reject the hypothesis
Use the formula to calculate the z value, and verify if it corresponds to the p-value
Test the hypothesis with an appropriate confidence interval such that the null hypothesis value is within the interval
Test the hypothesis using a two-tailed test
Simulate appropriate confidence intervals of certain size to clarify the meaning of Test of Significance
Large Sample Test for a Mean:

If the sample means are normally distributed use the z-test to evaluate the hypothesis
Determine the p- and z-values
Based on the p-value, accept or reject the hypothesis
Perform Large Sample Tests for difference between two proportions and difference between two means
Chi-Square Tests:

Make a frequency table for a series of trials
Enter the data as a list
Create a list for the proportion of the number of successes
Perform a Chi-square test using the calculator
Determine the p-value and check the reasonableness for a binomial distribution
Perform a Chi-square test for a two-way table

After the Activity
Review student results:

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