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Hypothesis Testing

The activities in this workbook cover the ideas of statistical significance, type I and type II errors and the power of a test. The relationship between power and significance in the context of tests of means is considered and the final spreadsheet shows how to conduct a chi-squared test of association in a contingency table.

The first spreadsheet is designed to introduce the concept of statistical significance. The activity simulates the tossing of a coin eight times and the number of heads recorded. Based upon the results a decision has to be made about whether the coin is fair. Work card 8.1 support student use of this spreadsheet.

The second activity is an extension of the first and considers how good, or powerful, the test is at detecting whether the coin is fair. Work card 8.2 support student use of this spreadsheet.

The third activity is designed to help students gain a better understanding of the concepts involved in hypothesis tests for a population mean, in particular what is meant by significance of a power test. Work card 8.3 support student use of this spreadsheet.

The final activity demonstrates the calculations involved in a chi-squared test of association and understand the idea of independence in a two-way table. Work card 8.3 support student use of this spreadsheet.

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