In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.
Answers
Using the z-distribution, it is found that the correct option is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A confidence interval is given by:
[tex]p \pm zs[/tex]
In which:
p is the estimate of the proportion.z is the critical value.s is the standard error.In this problem, the proportions are:
A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].Hence, the standard errors are:
[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]
When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:
[tex]p = p_1 - p_2[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
Thus, the interval is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A similar problem is given at https://brainly.com/question/12517818
Related Questions
are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?
Answers
Answer:
the first number is 75 and the second number is 100
Expand and simplify: (x - 7)(x+7)
Answers
Answer:
[tex]x^{2} -49[/tex]
Step-by-step explanation:
Answer:
[tex](x-7)(x+7) =x^2 -7^2 = x^2 -49[/tex]
Step-by-step explanation:
Suppose you are the 120th person in line at airport security. In 75 sec, 5 people are able to pass through security. Assuming this rate stays the same, how long (in minutes) will you be waiting in the security line? It takes 15 min to walk from security to the gate for your flight. If the flight stops boarding in 60 min, will you arrive at the gate in time?
Answers
Answer:
It takes 30 minutes to get to the front of the line, and 15 minutes to walk, so 45 minutes. 45 is less than 60, so you will make it.
Step-by-step explanation:
To calculate unit rate, 75/5 = 15/1 120*15=1800/60=30 minutes
(divide by 60 to convert to minutes)
Is it true that Confidence intervals are always close to their true population values?
Answers
Answer:
This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.
Which explanation could be used to verify weather the functions are inverse
Answers
Answer:it is the second option
Step-by-step explanation:
neither of the lines are paralell to the y=x
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
9W + 1 = 19
9w =
Subtract 1 from both sides
W =
Divide both sides by 9
Answers
Answer:
see explanation
Step-by-step explanation:
9W + 1 = 19 ( subtract 1 from both sides )
9W = 18 ( divide both sides by 9 )
W = 2
Can u help me with my homework
Answers
what percent of 75cm is 5cm
Answers
Answer:
6.67%
Step-by-step explanation:
5 / 75 = 0.066667
(0.066667)(100) = 6.67%
What is 29−−√?
What 2 numbers does it fall between when placed on a number line?
Question 5 options:
Between 5 - 5.5
Between 4 - 4.5
Between 4.5 - 5
Between 5.5 - 6
Answers
Hope this helps.
Please help!! markup and markdown word problems.
1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?
2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?
3. A painting is on sale at 50% off. The sale price is $320. What was the original price?
Answers
Answer:
Step-by-step explanation:
1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?
$50(1+0.20) = $60
2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?
$4(1-0.2) = $3.20
3. A painting is on sale at 50% off. The sale price is $320. What was the original price?
X*(1-0.5) = $320
X = $320/0.5
X = $640
Mark each equation with the number that makes it true!
Answers
Answer:
Check step-by-step
Step-by-step explanation:
18 + s = 33 = (15)
27 = 9 • s = (3)
40 - s = 23 = (17)
5 • m = 35 = (7)
18/s = 3 = (6)
m/5 = 10 = (50)
m + 14 = 18 - m= (2)
m + m + 12 = 22 (5)
n + 7 = 18 (11)
n - 9 = 22 (31)
Have A good day! Let me know if this helps!
How much pure alcohol must a pharmacist add to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution? ASAP
Answers
20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:
x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)
x * 1 + 10 * 0.1 = 0.7 * (x + 10)
x + 1 = 0.7x + 7
x - 0.7x = 7 - 1
0.3x = 6
x = 20 cm³
Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Find out more on equation at: https://brainly.com/question/13763238
Answer:
20 cm³
Step-by-step explanation:
51.33333333 just round it plz
Answers
Answer:
51
Step-by-step explanation:
The answer would be 51 because the numbers behind the decimal are below 5
Answer:
51
Step-by-step explanation:
51.33333333 rounds to 51 because 3 is less than 5.
When rounding, always look at the number before the first number in front of the decimal. If it is more than 5, round up. If it is less than, round down.
Find the measure of x.
48.99
138
X
x = [?]
Round your answer to the nearest tenth.
Enter
Answers
Tan(48.9) = x/138
X = 138 x tan(48.9)
X = 158.2
someone actually help :((( need to finish exam before 12 !!
f(x)=17,000(0.87)x
The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table.
x| 0| 1| 2| 3| 4| 5|
g(x)| 21,000| 18,690| 16,634.10| 14,804.35| 13,175.87| 11,726.52|
How much more will the SUV be worth than the car 5 years after their model years? Round your answer to the nearest cent.
Answers
Using the exponential function, it is found that the SUV is worth $3,253.36 less than the car after 5 years.
The exponential function for the value of the SUV, after x years, is given by:
[tex]f(x) = 17000(0.87)^x[/tex]
Hence, after 5 years, the value is:
[tex]f(5) = 17000(0.87)^5 = 8473.16[/tex]
From the table, after 5 years, the car is worth $11,726.52.
11726.52 - 8473.16 = 3253.36.
The SUV is worth $3,253.36 less than the car after 5 years.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25983065
What is the constant of proportionality in the following equation?
y = 5x + 0
Answers
Answer:
5
Step-by-step explanation:
y is always 5 times greater than x
So; 1. Find the sum of 64.2 + 3.4 =_____ Find the difference 514 - 1.72=_____
FOR MY BROTHER TWIN'S
" Please answer this today☺️ "
Answers
please help me please
Answers
[tex] \frac{76}{90} [/tex]
-_-
Which of the following sets is equal to {1, 2, 3, ...)?
{x| xER, x>1}
{x|xER, x> or equal to 1}
{x|xEN, x> or equal to 1}
Answers
Answer:
[tex]\{x~ | ~x\in \mathbb{N}, x \geq 1\}[/tex]
Step-by-step explanation:
Find the sum of the first 20 terms of the sequence 2, 8, 14, 20, . . ..
Answers
Step-by-step explanation:
the rule is obviously to always add 6.
so,
2, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116
Answer:
1180
Step-by-step explanation:
1180 is correct answer
- Atriangle is 3 cm wider than it is tall. The area is 14 cm^2. Find the height and the base.
Answers
Answer:
7 and 4
Step-by-step explanation:
If you set up a rectangle you get an area of 28 cm^2
4x7=28
the base is 7 cm
the height is 4 cm
If answer is correct you will be marked as brainliest
What is the discriminant of the polynomial below?
4x^2+4x+1
A. 32
B. -12
C. -4
D. 0
Answers
Answer:
Discriminant is [tex] {b}^{2} - 4 \times a \times c [/tex]
[tex]16 - 4 \times 4 \times 1 = 0[/tex]
suppose we want to choose 2 colors, without replacement from 3 colors red,bule and green
Answers
Does (3, -50) make the equation y = -8x true?
Answers
Hey there!
y = -8x
→ -50 = -8(3)
→ -8(3) = -50
→ -8(3) = -24
→ -24 ≠ -50
Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)
Answer: NO
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
I need help please I can’t fail this
Answers
Answer:
200
Step-by-step explanation:
200 - 35% = 130
130 + 70 = 200
whats the answer to 3 1/2 divided by 2 1/4
Answers
Answer:
1.556
Step-by-step explanation:
Divide
3 and 1 over 23
1
2
÷ 2 and 1 over 42
1
4
= 28 over 18
28
18
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
3 and 1 over 23
1
2
= ( 3 × 2 ) over 2
3 × 2
2
+ 1 over 2
1
2
= ( 6 + 1 ) over 2
6 + 1
2
= 7 over 2
7
2
Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 42
1
4
= ( 2 × 4 ) over 4
2 × 4
4
+ 1 over 4
1
4
= ( 8 + 1 ) over 4
8 + 1
4
= 9 over 4
9
4
Step 1 of 2: Divide, sub-step c: Divide.
Divide
7 over 2
7
2
÷ 9 over 4
9
4
= 7 over 2
7
2
× 4 over 9
4
9
= ( 7 × 4 ) over ( 2 × 9 )
7 × 4
2 × 9
= 28 over 18
28
18
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Step 1 of 2: Divide.Hide
Step 2 of 2: Simplify.
Simplify
28 over 18
28
18
= 14 over 9
14
9
= 1 and 5 over 91
5
9
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
28 over 18
28
18
= ( 28 ÷ 2 ) over ( 18 ÷ 2 )
28 ÷ 2
18 ÷ 2
= 14 over 9
14
9
2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
14 over 9
14
9
= 1 and 5 over 91
5
9
14 ÷ 9 = 1 remainder 5
Answer:
1.5555555555556
Step-by-step explanation:
when you divide those numbers, thats your answer
Number 8 Please!!!!!
Thank You!!!
Answers
Answer:
x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6
Step-by-step explanation:
If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)
This question on your unit test is a fill in the blank. Be prepared to type your answer. The graph show how many minutes it takes Ziah to run a certain distance in the city. What is the meaning of the point (4, 6)?
Answers
The point (4,6) means it took Ziah 4 minutes to run 6 blocks.
This is because any point is of the form (x,y) where in this case
x = number of minutes
y = number of blocks
-3x-8? I would like to know the steps also
Answers
Answer:
24
Step-by-step explanation:
a - and a - make a +
so -3 x -8 becomes positive
so 3 x 8 = 24
Solve for x. Round to the nearest hundredth. 10^x = 42
Answers
Answer: The answer is 1.62.
Explanation: It is in the image.