Question

find the value of the test statistic z using ( z=\frac{hat{p}-p}{sqrt{\frac{p q}{n}}} ).
the claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include ( n = 696 ) drowning deaths of children with 30% of them attributable to beaches.
a. 2.88
b. -2.88
c. 3.05
d. -3.05

Explanation:

Step1: Identify the values

Given \( \hat{p}=0.30\), \(p = 0.25\), \(q=1 - p=1 - 0.25 = 0.75\), \(n = 696\).

Step2: Substitute into the formula

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Answer:

C. 3.05