Answer: (0.5496, 0.5754)
Step-by-step explanation:
The confidence interval for population proportion (p) is given by :-
, where
= Sample proportion , n= sample size , z*= Critical z-value.
Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.
Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.
i.e. n=4000

z-value for 90% confidence level is 1.645
Now , 90% confidence interval for p would be :


Hence, the required 90% interval = (0.5496, 0.5754)
Answer:
Area of Circle 1=>64(pi) units^2
Area of Circle 2=>9(pi) units^2
Step-by-step explanation:
Circumference=2(pi)r
Circle 1: 2(pi)r=16(pi)
Divide by 2(pi) on both sides
r=8 units
Area=(pi)r^2
Area of circle 1=>(pi)*(8^2)
Area of Circle 1=>64(pi) units^2
Circle 2: 2(pi)r=6(pi)
Divide by 2(pi) on both sides
r=3 units
Area=(pi)r^2
Area of circle 2=>(pi)*(3^2)
Area of Circle 2=>9(pi) units^2
Answer: b) 84
Step-by-step explanation:
Let p be the prior estimate of the required proportion.
As per given , we have
p =0.5 (The probability of getting heads on a fair coin is 0.5)
Significance level : 
Critical z-value (using z-value table ) : 
Confidence interval width : w= 0.18
Thus , the margin of error : 
Formula to find the sample size ( if prior estimate of proportion is known.):-

Substitute the values , we get

Simplify ,
[Round of to the next whole number.]
Hence, the number of times we would have to flip the coin =<u>84</u>
hence, the correct answer is b) 84
Answer:3.08e
Step-by-step explanation:mujwjwieekedkd
Answer:
There were 16 ounces of Cat Food after 24 days.
Step-by-step explanation:
From the graph attached,
For an ordered pair (x, y) lying on the graph,
x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.
Now the value x = 24 on x-axis shows the number of days since the bag was bought.
For x = 24, ounces of cat food in the bag ( y ) = 16 ounce
Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.