Q3: In a random sample of 100 residents of Oregon, 15 speak a language other than English at home. We want to test to se

[answerhappygod]

Q3: In a random sample of 100 residents of Oregon, 15 speak a
language other than English
at home. We want to test to see if this provides evidence that the
proportion residents of
Oregon who speak a language other than English at home is less than
half.
“Show all your work to receive full point”. (5 points)


a) Define the relevant parameter/s and state the hypothesis:




b) What is the standard error of the test?





c) What is the test statistic?






d) What is the p-value?




e) What is your conclusion?







f) Suppose we want to estimate a proportion with a margin of error
of 0.07 with 95%
confidence. How large a sample size do we need?