SOLUTION: A claim is made that the proportion of children who play sports is less than 0.5, and the sample statistics include n = 1506 subjects with 30% saying that they play a sport.

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Question 930520: A claim is made that the proportion of
children who play sports is less than 0.5, and
the sample statistics include n = 1506 subjects
with 30% saying that they play a sport.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: p = .5
Ha: p < .5 (claim)
...
z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29 = .0026
z+=blue+%28.3-+.5%29%2Fsqrt%28blue%28.5%2A.5%29%2F1506%29%29 = -15.5
p(z < -15.2) = basically zero (1.7681x10^(-52))
p = .30 did not happen by accident
......
Evidence supports claim