Acollege student organization wants to start a nightclub for students under the age of 21. to assess support for this proposal, they will select an srs of students and ask each respondent if he or she would patronize this type of establishment. they expect that about 74% of the student body would respond favorably.(a) what sample size is required to obtain a 95% confidence interval with an approximate margin of error of 0.03? 822(b) suppose that 54% of the sample responds favorably. calculate the margin of error for the 95% confidence interval.

a) Sample size = 822

b) Margin of error = 0.03407          

Step-by-step explanation:

We are given the following in the question:

p = 74% = 0.74

a) Sample size is required to obtain margin of error of 0.03

Formula:

Putting values, we get,

Thus, the sample size must be approximately 822  to obtain a 95% confidence interval with an approximate margin of error of 0.03

b) Margin of error for the 95% confidence interval

p = 54% = 0.54

Formula:

Putting values, we get,

The margin of error now will be 0.03407.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857