Question

Complete all parts of the question and detailed answer. 4. It is generally believed that nearsightedness affects about 12% of all children. A school district randomly selected 170 children in kindergarten and found that 10% were nearsighted. a) Categorical or Quantitative Variable? b) Is 12% a Sample statistic or Population parameter? c) Is 10% a Sample statistic or Population parameter? d) Should we use a z-distribution or t-distribution? e) Calculate a hypothesis test to test if there is a decrease in nearsightedness from the reported 12% using STAT TESTS #5. f) What do you conclude in the context of the problem. g) Which could occur based on your previous conclusion a Type I or Type II error?

Answer 1

SolutionA:

its a quantitative variable,since we are measuring it.

Quantitative Variable

SolutionB:

since it is given

nearsightedness affects about 12% of all children.

since data is about every individual of interest,population parameters are numerical measures that describe an aspect of a population

12% is a population parameter ,p

p=0.12

Solutionc:

p^=Sample proportion =0.10

Sample statistic

Solutiond:

since n=170

large sample

use z distribution