The health department of Hulu Langat is concerned about youth vaping in the district. At one of the high schools with an enrolment of 300 students, a study found that 51 of
them were vapers.
a)
b)
c) Calculate the estimate of the true proportion of youth who were vapers in the district. Then construct a 95 percent confidence interval for the population
proportion of youth vapers. Give an interpretation of your result.
The health official from the department suspects that the proportion of young vaper in the district is different from 0.12, a figure obtained from a similar nationwide survey. If a test is carried out to check the suspicion of the official, what is the p-value of the test? Is there evidence to support the official's suspicion
at the 5% significance level? Is the conclusion consistent with the result in (a)?