An IBM SPSS® Companion to Political Analysis by Philip H. H. Pollock III
Author:Philip H. H. Pollock III [Pollock III, Philip H. H.]
Language: eng
Format: azw3
Publisher: SAGE Publications
Published: 2015-11-16T16:00:00+00:00
This value of t, –.99, appears in the leftmost cell of the One-Sample Test table.2 Thus, ftgr_gay’s mean falls .99 standard errors below the hypothetical mean of 52. Turn your attention to the cell labeled “Sig. (2-tailed),” which contains the number .323. This is the P-value associated with the t-statistic, and it may be interpreted this way: There is a probability of .323 that the sample mean and the hypothetical mean were drawn from the same distribution of means. A less intuitive, but technically more proper, interpretation is as follows: If the difference between the two means is assumed to be 0, then random sampling error would produce the observed difference 32.3 percent of the time, by chance. So, the no-difference hypothesis holds up. From the 95% CI, we already knew that 51.63 and 52 were not significantly different. The P-value approach puts a finer point on this inference.3
Figure 6-5 Testing a Hypothetical Claim about a Sample Mean
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