In a survey of 5000 registered voters who reside in California, 2739 were found to be republican. Construct a confidence estimate for the true percentage of republicans among registered voters in California. Use a confidence level of 99%.

Answer and Step-by-step explanation:

given:

Sample size is: n =5000

The sample proportion is: Ṗ = 2739 / 5000 = 54.78%

And the critical value of z for 99% confidence interval is

                                                 Z = 2.58

For a 99 % confidence interval we use formula:

                                                   Ṗ ± z√(Ṗ(1- Ṗ)/n)

By putting the given values in this formula:

                                                     0.54 ± 2.58√(0.54(1-0.54)/5000)

                                              = 0.54 ± 0.018

This gives us upper confidence limit of

 0.54 + 0.018 =0.558 = 0.54%

This gives us lower confidence limit of

o.54 – 0.018 = 0.522 = 0.53%

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.