Answer:
- The lowest value of the confidence interval is 0.5262 or 52.62%
- The highest value of the confidence interval is 0.5538 or 55.38%
Step-by-step explanation:
Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.
The general expression to apply here is;

where ;
p=sample proportion
n=sample size
z*=value of z* from the standard normal distribution for 95% confidence level
Given;
n=5000
<u>Find p</u>
From the question 54% of people chosen said they did not have children under 18 living at home

<u>To calculate the 95% confidence interval, follow the steps below;</u>
- Find the value of z* from the z*-value table
The value of z* from the table is 1.96
- calculate the sample proportion p
The value of p=0.54 as calculated above

Divide the value of p(1-p) with the sample size, n

- Find the square-root of p(1-p)/n

Here multiply the square-root of p(1-p)/n by the z*

The 95% confidence interval for the lower end value is p-margin of error

The 95% confidence interval for the upper end value is p+margin of error

Total number of bulbs tested, N = 445
Number of bulbs that lasted more than 500 hrs, x = 316
Point estimate of bulbs that lasted more than 500 hrs = x/N = 316/445 ≈ 0.71 = 0.71*100 = 71%
Just substitute in the values in 32>7x+4
if x=-1 ---->32>7(-1)+4---->32>3 which is true.It is a solution
if x=5--->32>7(5)+4--->32>39 which is false.it is NOT a soultion
if x=0---->32>4---->which is true .It is a solution
if x=4---->32>7(4)+4---->which is true. it is a solution
The expression equivalent to -7(y - 2) is -7y + 14
<h3>Which expression is equivalent to -7(y - 2)?</h3>
Given the expression; -7(y - 2)
We expand the expression by multiplying each element inside the parentheses the element out i.e -7
-7(y - 2)
[ -7 × y and -7 × -2 ]
-7y + 14
Therefore, the expression equivalent to -7(y - 2) is -7y + 14.
Learn more about expressions here: brainly.com/question/13947055
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