Example 15

EXAMPLE 15 Assessing the strength of evidence against $H_{0}$

Assess the strength of evidence against $H_{0}$ shown by the $p$ -values in (a) Example 13 and (b) Example 14.

Solution

In Example 13, we tested $H_{0} : μ = 3.0$ versus $H_{a} : μ < 3.0$ , where $μ$ refers to the population mean user rating for JFK International Airport. Our $p$ -value of 0.0668 implies that there is moderate evidence against the null hypothesis that the population mean user rating for JFK Airport equals 3.0.

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In Example 14, we tested $H_{0} : μ = 3200$ versus $H_{a} : μ \neq 3200$ , where $μ$ refers to the population mean birth weight of Brisbane babies (in grams). Our $p$ -value of 0.3397 implies that there is no evidence against the null hypothesis that the population mean birth weight of Brisbane babies equals 3200 grams.

NOW YOU CAN DO

Exercises 31–40.