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City of South Bend Disoarity Study 2020 <br />the null hypothesis. We then calculate a confidence interval to find the proba- <br />bility that the observed relationship (e.g., -35 percent) is between 0 and minus <br />that confidence interval .171 The confidence interval will vary depending upon <br />the level of confidence (statistical significance) we wish to have in our conclu- <br />sion. When a number is statistically significant at the 0.001 level, this indicates <br />that we can be 99.9 percent certain that the number in question (in this exam- <br />ple, -35 percent) lies outside of the confidence interval. When a number is sta- <br />tistically significant at the 0.01 level, this indicates that we can be 99.0 percent <br />certain that the number in question lies outside of the confidence interval. <br />When a number is statistically significant at the 0.05 level, this indicates that <br />we can be 95.0 percent certain that the number in question lies outside of the <br />confidence interval. <br />171. Because 0 can only be greater than -35%, we only speak of "minus the confidence level". This is a one -tailed hypothesis <br />test. If, In another example, the observed relationship could be above or below the hypothesized value, then we would <br />say "plus or minus the confidence level" and this would be a two -tailed test. <br />108 0 2020 Colette Holt & Associates, All Rights Reserved. <br />