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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

Find The Value Of The Test Statistic Z Using Z PPpan37 A Claim Is Made That The Proportion Of Children Who Play Sports Is Less Than 05 And The Sample Statistics class=

Sagot :

37. The given p-value is 0.5

Also the observed proportion is:

[tex]\hat{p}=30\%=0.3[/tex]

And q is (1-p), so:

[tex]q=1-0.5=0.5[/tex]

And the n-value is given 1158.

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

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

The answer is -13.61

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