Answer:
You must test a sample size of at least 514 Americans.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
is the margin of error.
95% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
We have that:
So
You must test a sample size of at least 514 Americans.
Answer:
0.0000
Step-by-step explanation:
Given that a die is rolled 360 times. Let say that you want to use normal approximation to find the probability that the number of 4 was rolled exactly 100 times.
Here we know that getting 4 is binomial with p = 1/6 and n =360
By approximating to normal after checking conditions are satisfied we have
X = no of fours obtained is normal
with mean =
and variance =
Std dev = 7.072
X is N(60, 7.072)
For finding out prob x=100 we have to do continuity correction as