Problem:

Suppose you are interested in determining the percent of students at your school who have tattoos. You are interested in this because you recently heard a report on the radio that stated 60% of all people have at least one tattoo. You take a random sample of 65 students at your school and find 36 of them have at least one tattoo.

Required:

Does this data indicate the percent of students at your school with at least one tattoo is different from 60%? Use a 1% significance level.

For this hypothesis test, make sure you show the following 7 items:

i) H0

ii) H1

iii) the point estimate, the test statistic and the formula used to compute the test statistic (round to the thousandth)

iv) the P-value for the test statistic (round to the thousandth)

v) the critical value(s)

vi) the formal decision

vii) the conclusion in non-technical terms. Solve the problem and show all work.