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CHAPTER 5 Hypothesis testing and statistical significance 137<br />

Figure 5.4 Scattergrams illustrating alternative underlying populations when no relationship is observed in a sample<br />

a 61% probability of obtaining this pattern from a population resembling that shown in (a).<br />

In this case we would probably decide that the population does in fact resemble population (a)<br />

rather than population (b). There are other issues that we would need to address, however,<br />

before we could come to this conclusion, such as whether we had enough participants in our<br />

sample (see section 5.9 and Chapter 8).<br />

5.2 Null hypothesis<br />

We have just slipped a very important concept past you, which needs further explanation. The<br />

null hypothesis is very important to the process of hypothesis testing. We explained earlier

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