Please note that in such questions, the ":" stands for ratio which in turn stands for divide. Thus, the given expression which is:
will become:
.....(Equation 1)
Now, we know that 3.8 can be rewritten as . Also, we know that the mixed fraction
can be re-written as:
Using the above two expressions in (Equation 1) we get:
Cross-multiplication gives:
Or c=0.25
Thus, we may write the value of c as either the decimal 0.25 or the fraction .
Complete Question
Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.
Answer:
The 90% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of people that watched the educational television is
Generally the sample proportion is mathematically represented as
=>
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>