Math  /  Data & Statistics

QuestionClaim: Fewer than 97%97 \% of adults have a cell phone. In a reputable poll of 1091 adults, 92%92 \% said that they have a cell phone. Find the value of the test statistic.
The value of the test statistic is \square (Round to two decimal places as needed.)

Studdy Solution
Compute the test statistic (z) using the formula:
z=p^p0SE z = \frac{\hat{p} - p_0}{SE}
Substitute the values:
z=0.920.970.00517 z = \frac{0.92 - 0.97}{0.00517}
z=0.050.00517 z = \frac{-0.05}{0.00517}
z9.67 z \approx -9.67
The value of the test statistic is:
9.67 \boxed{-9.67}

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