Answer:
The p-value of the test is 0.1314 > 0.05, which means that it cannot be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
Step-by-step explanation:
Before solving the question, we need to understand the central limit theorem, and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Test if a lower proportion of men favor stricter gun control than women:
At the null hypothesis, we test if the proportion is the same, that is, the difference of the proportions if 0. So
[tex]H_0: p_M - p_W = 0[/tex]
At the alternative hypothesis, we test if it is less, that is, the subtraction of the proportions is negative. So
[tex]H_1: p_M - p_W < 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
In a recent survey of gun control laws, a random sample of 564 women, 313 favored stricter gun control laws.
This means that:
[tex]p_W = \frac{313}{564} = 0.555[/tex]
[tex]s_W = \sqrt{\frac{0.555*0.445}{564}} = 0.0209[/tex]
In a random sample of 588 men, 307 favored stricter gun control laws.
This means that:
[tex]p_M = \frac{307}{588} = 0.522[/tex]
[tex]s_M = \sqrt{\frac{0.522*0.478}{588}} = 0.0206[/tex]
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_M - p_W = 0.522 - 0.555 = -0.033[/tex]
[tex]s = \sqrt{s_M^2+s_W^2} = \sqrt{0.0206^2+0.0209^2} = 0.029[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.033 - 0}{0.029}[/tex]
[tex]z = -1.12[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion difference greater than 0.033, which is the p-value of z = -1.12.
Looking at the z-table, z = -1.12 has a p-value of 0.1314.
The p-value of the test is 0.1314 > 0.05, which means that it cannot be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
the distance from kevins home to his school is 2 kilometers. adrian lives 750 meters from the same school. how much closer does adrian live next to the school than kevin
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find cos B, tanB, and sin B. (Plz I need help)
Answer:
5/13, 12/5, 12/13
Step-by-step explanation:
cos = adj/hyp
tan = opp/adj
sin = opp/hyp
hyp = 13
adj = 5
opp = 12
Plug in.
cos = 5/13
tan = 12/5
sin = 12/13
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation of $43. All of the income tax returns claiming the largest 0.15 % of refunds will be audited. Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
Answer:
A refund must be above $7,139 before it is audited.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7010, standard deviation = 43.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.
Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.
3 standard deviations above the mean, so:
7010 + 3*43 = 7139.
A refund must be above $7,139 before it is audited.
Pls someone pls help me with this question pls
Answer:
12
Step-by-step explanation:
What's the cosine of 7
cosine(7 radians ) =
0.75390225434
What's X in the diagram??
========================================================
Explanation:
Angles EGD and BGF are vertical angles. Both are unknown and equal to x.
Notice how angle AGD is adjacent to angle CGD. These two angles form a straight angle (180 degrees) and angle CGD is a right angle. That must mean AGD is also a right angle.
Angles AGE and EGD must add to 90 degrees since AGD is 90
----------
(angleAGE)+(angleEGD) = (angle AGD)
(30) + (x) = 90
x = 90-30
x = 60
Find the difference.
(-ab+3a-3) - (3ab+2)
Answer:
3a-4ab-5
Step-by-step explanation:
(-ab+3a-3) - (3ab+2)
Distribute the minus sign
(-ab+3a-3) - 3ab-2
Combine like terms
3a-4ab-5
Answer:
[tex]-4ab+3a-5[/tex]
Step-by-step explanation:
Hi there!
[tex](-ab+3a-3) - (3ab+2)[/tex]
Open up the parentheses
[tex]-ab+3a-3- 3ab-2[/tex]
Combine like terms
[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]
I hope this helps!
Which pair of figures has the same number of faces as vertices?
triangular prism and triangular pyramid
triangular prism and rectangular prism
rectangular pyramid and triangular pyramid
rectangular pyramid and rectangular prism
Answer:
Rectangular pyramid and triangular pyramid
Step-by-step explanation:
A rectangular pyramid and triangular pyramid has the same number of faces as vertices
What is a Pyramid?A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.
A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.
Find out more on Pyramid at: https://brainly.com/question/25823102
simplify using order of operations (PEMDAS) 54 divided by (3x3) + 2^3
Answer:
[see below]
Step-by-step explanation:
[tex]\frac{54}{3*3}+2^3\\\\ \frac{54}{9} +2^3\\\\\frac{54}{9}+ 8\\\\6+8\\\\\boxed{14}[/tex]
Hope this helps.
how is the graph of y=4x^(2)+2 different from the graph of y=4x^(2)
Answer:
y=mx+b
Step-by-step explanation:
so that is b right?
that means its what number you start the y on
Which graph represents the given inequality? y > 4x + 2
Help me...!
!!
!!
!!
!!
The answer to this question is:
2 ¾ inches.
The number of points scored by the home team at a basketball game is represented by (x+6). The number of points scored by the visiting team is represented by (3x −6). Write an expression to find how many more runs the home team scored than the visiting team. Then evaluate the expression if the value of x is 5.
Answer:
2
Step-by-step explanation:
(x + 6) - (3x - 6) Remove the brackets.
x + 6 - 3x + 6 Collect like terms
Difference in points = 12 - 2x
If x = 5 then
Difference in points = 12 - 2*5
Difference in points = 12 - 10
Difference in points = 2
Need help with this question 30 points and ill give brainlist ASAP
Answer:
my answer is A. you only need substitute n from 1 to 4
Please show how you did it so I can learn :)
Answer:
[tex] x_{1} = 3 + \sqrt {6} [/tex]
[tex] x_{2} = 3 - \sqrt {6} [/tex]
Step-by-step explanation:
Given the quadratic equation;
x² - 6x + 3 = 0
To find the roots of the quadratic equation, we would use the quadratic formula;
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 1, b = -6 and c = 3
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the formula, we have;
[tex] x = \frac {-(-6) \; \pm \sqrt {-6^{2} - 4*1*(3)}}{2*1} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 - (12)}}{2} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 - 12}}{2} [/tex]
[tex] x = \frac {6 \pm \sqrt {24}}{2} [/tex]
[tex] x = \frac {6 \pm 2 \sqrt {6}}{2} [/tex]
[tex] x_{1} = \frac {6 + 2 \sqrt {6}}{2} [/tex]
[tex] x_{1} = \frac {6}{2} + \frac {2 \sqrt {6}}{2} [/tex]
[tex] x_{1} = 3 + \sqrt {6} [/tex]
Or
[tex] x_{2} = \frac {6 - 2 \sqrt {6}}{2} [/tex]
[tex] x_{2} = \frac {6}{2} - \frac {2 \sqrt {6}}{2} [/tex]
[tex] x_{2} = 3 - \sqrt {6} [/tex]
Identify the statement as a conjunction, disjunction, conditional, or biconditional.
Bob and Tom like stand-up comedians.
O conjunction
O disjunction
O conditional
O biconditional
how can u stand applying math to every thing doesn't it make every thing repetitive and why does every thing need a pattern doesn't that just make every thing worthless cause what's the point if every thing repeats and no this is not about history
The roots of [tex]10x^2-14x+k[/tex] are sin a and cos a for some real value of a. Compute k.
Answer:
10
Step-by-step explanation:
10x²-14x+k = 0
x1 = sin a
x2= cos a
x1+x2 ≤ 2
x1. x2 ≤ 1 => k/10 ≤ 1
k ≤ 10
so the value of k should be 10
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 23%, and the final exam is worth 33%. Compute the weighted average for the following scores: 70 on the lab, 99 on the first major test, 91 on the second major test, and 90 on the final exam
What is the value of Y if x=1
Answer:
y=6
the first equation:
3(1)+y=9
3+y=9
y=6
the second equation:
y= -4(1)+10
y= -4+10
y=6
I hope this helped! :)
how far does the train travel if it is doing 65km/h during a time of 95 minutes ? give your answer in kilometers and then in meters
9514 1404 393
Answer:
102 11/12 km ≈ 102.917 km
102,916 2/3 m ≈ 102,917 m
Step-by-step explanation:
1 minute is 1/60 of an hour, so 95 minutes is 95/60 hours = 19/12 hours.
Distance is the product of speed and time, so ...
distance = (65 km/h)(19/12 h) = 1235/12 km = 102 11/12 km ≈ 102.917 km
__
Each kilometer is 1000 meters, so this distance is ...
(102.917 km) × (1000 m/km) = 102,917 m
Following a strategy of product differentiation, Westwood Corporation (W) makes a high-end kitchen range hood, KE8. W’s data for 2012 and 2013 follow on the next slide.In 2013, W produced no defective units and reduced direct materials usage per unit of KE8. Conversion costs in each year are tied to manufacturing capacity. Selling and customer service costs are related to the number of customers that the functions are designed to support. W has 23 customers (wholesalers) in 2012 and 25 customers in 2013.
Units of KE8 produced and sold 40,000 42,000
Selling Price $100 $110
Direct Materials (sq ft) 120,000 123,000
DM cost per sq ft $10 $11
Manufacturing capacity for KE 850,000units 50,000units
Conversion Costs $1,000,000 $1,100,000
CC per unit $20 $22
Selling & Customer Service capacity 30customers 29customers
Selling & Customer Service Costs$720,000 $725,000
Cost per customer$24,000 $25,000
Required:
(1) Describe elements you would expect to see in W’s BSC.
(2)Calculate the growth, price recovery and productivity components that explain the change in the 2012 to 2013 income. Can you use the worksheet to get the variances?(3) Suppose during 2013, the market size for high-end rangehoods grew 3% and all increases in market share are due to W’s product differentiation strategy. How much of the change in OI is due to the industry market size factor, cost leadership and product differentiation?
(4) How successful was the strategy implementation?
please answer thank you
Answer:
6.
sin 26=opposite/hypotenuse
sin26=22/x
x=22/sin26
x=50.19
x=50.2
Standard form 6,000,000+900,000+80,000+9,000+500+80+2
Answer:
6.989582×10^-6
Step-by-step explanation:
6,000,000+900,000+80,000+9,000+500+80+2
=6989582
=6.989582×10^-6
Please help a homie out
Answer:
TUW=VUW
Step-by-step explanation:
Answer:
Option 3: Angle TUV = angle VUW
Step-by-step explanation:
Graph the inequality 7≤ y -3x < 11
Answer:
1
Step-by-step explanation:
9 x (-3) + (-15) ÷ 3
Answer:
-32
Step-by-step explanation:
9(-3) + (-15) ÷ 3 =
-27 + -5 = -32
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:-32
Step-by-step explanation:
solve the following
2x+6 = 7x-14
Answer:
x=4 :)))))))))
Step-by-step explanation:
"-+_$-5_(#-3(
Answer:
x = 4
Step-by-step explanation:
2x + 6 = 7x - 14
2x + 6 - 2x + 14 = 7x - 14 - 2x + 14 ----> To put the variables on one side and the numbers on the other side
20 = 5x --> Simplifying
x = 20/5 --> Flipping the equation and then dividing 5 on both sides
x = 4 --> Simplifying
Hope this helps explain! <3
Evaluate: 2^-4=
A1/8
B-16
C1/16
D-8
Answer:
C) 1/16
Step-by-step explanation:
2*2*2*2=16
Therefore, 2^(-4)=1/16.
Answer:
C) [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
2⁻⁴
2⁴ = 2 × 2 × 2 × 2 = 16
[tex]\frac{1}{16}[/tex]
Work out the following calculations and give your answers to the nearest 1000
a) 251 x 638
Answer:
160,000
Step-by-step explanation:
251
× 638
_______________
2008
753
+ 1506
__________________
160138
Product to the nearest thousand = 160,000
