It is claimed that 70% of population in country are against all forms of legalized gambling. A random sample of 200 people surveyed showed that 152 of them are against all forms of the legalized gambling.
a. Provide a point estimate of true proportion of people in population who are against all forms of legalized gambling.
b. Develop an approximate 90% CI for true proportion of people in population who are against all forms of legalized gambling.
c. Provide an interpretation of the CI in part (b).
d. Do the data provide any evidence that the claim is incorrect? Describe.
e. How large should the sample size be if the margin of error of CI obtained in (b) is to be reduced by one-third?