SOLUTION: A recent study claimed that is more than 35% of junior high students are overweight. In a sample of 200 students, 80 were found to be overweight. At α = 0.05, test the claim.

Question 1161651: A recent study claimed that is more than 35% of junior high students are overweight. In a
sample of 200 students, 80 were found to be overweight. At α = 0.05, test the claim.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:% of students overweight is <=35%
Ha: it is more'
alpha=0.05 p{reject Ho|Ho true}
test: 1-sample proportion a z-test
critical value: reject if z>1.645
calculation: z=(p hat-p)/sqrt(p*(1-p)/n, p hat is 0.4 (80/200)
=(0.40-0.35)/sqrt(.35*.65/200)
=0.05/0.0337
=1.48
fail to reject Ho, a value of 40% could be reasonably found in a sample of 200 students. Or, insufficient evidence exists to reject Ho.
p-value=0.069
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