In a normal approximation to the sign test, the standardized test statistic is calculated as z = 2.17. If the alternative hypothesis states that the location of population 1 is to the right of the location of population 2, then the p-value of the test is 0.015.

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When the alternative hypothesis states that one population is greater than the other, a one-tailed test is performed. Since the standardized test statistic is positive (z = 2.17), we can see from a standard normal distribution table that the p-value of the test is less than 0.025 (for a one-tailed test with a significance level of 0.05). Since the p-value is less than the significance level, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that population 1 is located to the right of population 2. Therefore, the statement is true.

In a Normal Approximation to the Sign Test, the Standardized