Suppose that public opinion in a large city is 62% in favor of increasing taxes to support the after-school programs and 38% against such an increase. If an interview of the random sample of 450 people from this city is conducted, what is the approximate probability that more than 180 of these people will be against increasing taxes?

19.21%

Step-by-step explanation:

What we must do is calculate the z value in order to find the probability.

We have that z is equal to:

z = (x - n * p) / (n * p * q) ^ (1/2)

where x is the value to evaluate and is 180, n random sample that is 450 and p that is the probability that is 38 and q the complement of p, therefore it is 62%, we replace:

z = (180 - 450 * 0.38) / (450 * 0.38 * 0.62) ^ (1/2)

z = 0.87

increasing taxes = P (x> 180)

= P (z> 0.87)

= 1 - P (z <= 0.87)

= 1 - 0.8079

= 0.1921

In other words, the probability is 19.21%

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

include a picture of the drawing in order for me to

step-by-step explanation: