SOLUTION: A random sample of 861 861 births included 430 430 boys. Use a 0.10 0.10 significance level to test the claim that 50.5 50.5​% of newborn babies are boys. Do the

Algebra ->  Statistics  -> Hypothesis-testing -> SOLUTION: A random sample of 861 861 births included 430 430 boys. Use a 0.10 0.10 significance level to test the claim that 50.5 50.5​% of newborn babies are boys. Do the       Log On


   



Question 1129582: A random sample of
861
861 births included
430
430 boys. Use a
0.10
0.10 significance level to test the claim that
50.5
50.5​% of newborn babies are boys. Do the results support the belief that
50.5
50.5​% of newborn babies are​ boys?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: p=0.505 or greater
Ha: p<0.505
alpha=0.10
one sample proportion
critical value |z|>1.645
z=(p hat-p)/sqrt(.505*.495/861); sqrt term=0.0170
p hat=0.499
z=-0.006/0.170
z=-0.35
fail to reject; insufficient evidence to conclude true proportion is < 0.505.