Assignment:
It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted.
(a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate?
(b) What proportion of children in this sample are nearsighted?
(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 (the Z-statistic).
(d) What is the p-value for this hypothesis test?
(e) What is the conclusion of the hypothesis test?