To Determine Whether a Single Coin Is Fair, the Coin

question 94

Essay

To determine whether a single coin is fair, the coin was tossed 200 times. The observed frequencies with which each of the two sides of the coin turned up are recorded as 112 heads and 88 tails. Is there sufficient evidence at the 5% significance level to allow you to conclude that the coin is not fair?

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Definitions:

Wilcoxon Rank Sum Test

A non-parametric statistical test used to assess whether two independent samples come from populations with the same distribution.

Population Location

A term that typically refers to the central value or position of a statistical population.

One-sample T-test

A statistical test used to determine whether a sample mean significantly differs from a known or hypothesized population mean.

Kruskal-Wallis Test

A non-parametric method used to determine if there are statistically significant differences between two or more groups of an independent variable on a continuous or ordinal dependent variable.