SOLUTION: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (b) What proportion of children in this sample ar

Question 1119778: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted.

(b) What proportion of children in this sample are nearsighted?
(round to four decimal places)

(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic).
Z = (please round to two decimal places)

(d) What is the p-value for this hypothesis test?
p = (please round to four decimal places)

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the proportion is the point estimate or 21/194, or 0.1082
Ho:sample has proportion of 0.08
Ha:it doesn't
alpha=0.05
z=(sample-0.08)/sqrt (0.08*0.92/194), and the denominator is the SE of 0.0195
z=0.0282/0.0195
z=1.45 ANSWER
p-value is twice that for z=1.45 or 0.0735*2=0.1470 ANSWER

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