Answer: we need to survey 2285 Americans.
Step-by-step explanation:
When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-
, where E = margin of error , z* = critical z-value.
Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96
Required sample size: 

Hence, we need to survey 2285 Americans.
To be able to compare two fraction we have to make common denominator. Then we can compare fractions.

Now we can compare

1/2 is bigger than 5/16
Answer:
See the attachment
Step-by-step explanation:
If you don't have these memorized yet, your calculator can help you with this.
Answer:
0.9495
Step-by-step explanation:
We are given;
Population proportion; p = 90% = 0.9
Sample size; n = 100
Sample Proportion; p^ = 0.84
Formula to find the probability that sample proportion exceeds 0.84 is;
Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)
Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)
Z = -0.06/0.03666
Z = -1.64
From online z-score calculator attached, the probability is;
P(x>Z) = 0.9495
Answer:
84 is the area
Step-by-step explanation: