Question

Find the value of the test statistic z using z =P-Ppan37) A claim is made that the proportion of children who play sports is less than 0.5, and the sample statistics includen = 1158 subjects with 30% saying that they play a sport.Answer: - 13.6138) The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, andthe sample statistics include n = 647 drowning deaths of children with 30% of them attributable to beaches.Answer: 2.94

Answer 1

37. The given p-value is 0.5

Also the observed proportion is:

`\hat{p}=30\%=0.3`

And q is (1-p), so:

`q=1-0.5=0.5`

And the n-value is given 1158.

By replacing these values into the test statistic formula we obtain:

`z=\frac{\hat{p}-p}{\sqrt[]{(p\cdot q)/(n)}}=\frac{0.3-0.5}{\sqrt[]{(0.5\cdot0.5)/(1158)}}=\frac{-0.2}{\sqrt[]{0.0002}}=(-0.2)/(0.015)=-13.61`

The answer is -13.61