Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600
Answer:
2:1
Step-by-step explanation:
well we show ratio by the sign ' : '
ratio of iced tea to lemonade= 12:6
now we reduce it to minimum by dividing it with same number.
12 is divisible by 6
so,
the reduced form is = 2:1
therefore,
ratio of the number of students who want iced tea to the number of students who want lemonade = 2:1.
So your equation would be 37 + 9.70x
114 - 37 would get you 77 dollars. Next, you have to find out how many times 9.70 goes into 77. They would be able to rent the room for a total number of 7 hours because that's how many times 9.70 can fit into 77 evenly.
