Using the information given, it is found that:
a) 0.39
b) z = 1.96
c) s = 0.0218
d) M = 0.0428
e)
- The lower bound is 0.3472.
- The upper bound is 0.4328.
f) The 95% confidence interval is (0.3472, 0.4328), which means that we are 95% sure that the true proportion of boats who are in violation of one or more safety regulations is (0.3472, 0.4328).
Item a:
The point estimate is the sample proportion, hence:
Item b:
95% confidence level, hence , the critical value z is the value of Z that has a p-value of , so .
Item c:
The standard error is:
For this problem, , hence:
Item d:
The margin of error is:
In this problem, , hence:
Item e:
The lower bound is:
The upper bound is:
The lower bound is 0.3472.
The upper bound is 0.4328.
Item f:
The 95% confidence interval is (0.3472, 0.4328), which means that we are 95% sure that the true proportion of boats who are in violation of one or more safety regulations is (0.3472, 0.4328).
A similar problem is given at brainly.com/question/15136737