2 The claim is that the proportion of adults who smoked a ci

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The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.25, and the sample statistics include

n=1283 subjects with 295 saying that they smoked a cigarette in the past week. Find the value of the test statistic.

The test statistic is______

?(Round to two decimal places as needed.)

Solution

test statistic Z = z = (p^ - p₀) / ?p₀(1 - p₀) / n

phat =0.25

p0 = 0.2299

?p₀(1 - p₀) / n = 0.0120

Substitute these to get

z statistic = -1.675

= -1.68