To calculate the chi-square from the given data set {5, 43, 60, 30, 4}, one would first determine the expected frequencies based on the threshold of 5. The chi-square statistic can then be computed by summing the squared differences between observed and expected values, divided by the expected values. For the confidence interval at a 99.99% level, one would typically use the z-score corresponding to that confidence level and apply it to the sample mean and standard deviation. The provided Wikipedia links offer additional insights into the goodness of fit and confidence interval calculations. Understanding these concepts is essential for accurate statistical analysis.
