Answer:
Step-by-step explanation:
Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.
Sample proportion = 
To find 90% confidence interval we must find std error of proportion first
As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753
Std error of proportion= 
90% Z critical value = 1.645
Margin of error = 1.645*0.01363 = 0.0224
Confidence interval lower bound = 0.753-0.0224=0.731
Upper bound = 0.775
Answer:
d=5
Step-by-step explanation:
Answer:
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
Answer: -31
<u>Step-by-step explanation:</u>
f(x) = -x⁴ + 3x³ + x² - 8x - 16
f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16
= -81 + 81 + 9 - 24 - 16
= -31
Then move all terms not containing x from the center section of the inequality.
-2<x<3