EXAMPLE 7.3 One-sided Test for Average Time Using a Smartphone

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CASE 7.1 To test whether the average amount of time using a smartphone is less than the UK average our hypotheses are

The test statistic does not change: . As Figure 7.4 illustrates, however, the -value is now , half of the value in Example 7.2. From Table D, we can determine that ; software gives the exact value as . Again, there is not enough evidence to reject the null hypothesis in favor of the alternative at the 0.05 significance level.

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Figure 7.4: FIGURE 7.4 Sketch of the -value calculation, Example 7.3.