LOL NOT GIVING YOU ANSWERS CHEATERS JUST JOINED TO TROLL
We have
425 corresponds to a z of
575 corresponds to
So we want the area of the standard Gaussian between -3/4 and 3/4.
We look up z in the standard normal table, the one that starts with 0 at z=0 and increases. That's the integral from 0 to z of the standard Gaussian.
For z=0.75 we get p=0.2734. So the probability, which is the integral from -3/4 to 3/4, is double that, 0.5468.
Answer: 55%
Answer:
48 Parts
Step-by-step explanation:
Part 3- If 6.5 is 22% of a value, what is the value? (round to the nearest tenth)
Part 4- If 6 is 33% of the value, what is the value?
Given:
Sample no. of events,
Sample size,
Now,
The sample proportion will be:
→
The significance level will be:
Form the z-table,
The critical value,
Now,
The standard error will be:
=
=
and,
The margin of error,
→
Now,
The lower limit will be:
=
=
The upper limit will be:
=
=
hence,
The CI is "(0.6744, 0.748)". Thus the response above is right.
Learn more about confidence interval here:
Answer:
CI = (0.674, 0.748)
Step-by-step explanation:
The confidence interval of a proportion is:
CI = p ± SE × CV,
where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).
We already know the proportion:
p = 293/412
p = 0.711
But we need to find the standard error and the critical value.
The standard error is:
SE = √(p (1 − p) / n)
SE = √(0.711 × (1 − 0.711) / 412)
SE = 0.0223
To find the critical value, we must first find the alpha level and the degrees of freedom.
The alpha level for a 90% confidence interval is:
α = (1 − 0.90) / 2 = 0.05
The degrees of freedom is one less than the sample size:
df = 412 − 1 = 411
Since df > 30, we can approximate this with a normal distribution.
If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645. That's our critical value. CV = 1.645.
Now we can find the confidence interval:
CI = 0.711 ± 0.0223 * 1.645
CI = 0.711 ± 0.0367
CI = (0.674, 0.748)
So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.