Using the z-distribution, it is found that the value of the test statistic is z = 10.33.
At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:
[tex]H_0: p = 0.75[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.75[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]
[tex]z = 10.33[/tex]
A similar problem is given at https://brainly.com/question/24330815
On average, a squirrel lives to be 6.5 years old. The lifespan of a squirrel may
vary by as much as 1.5 years. What is the range of ages that a squirrel lives?
Answer:
5-8
Step-by-step explanation:
6.5-1.5 = 5
6.5+1.5= 8
Find the quotient of 1/6 and 2/9
Answer:
3/4 or 0.75
Step-by-step explanation:
When dividing- quotient- fractions, remember keep, change, flip
Keep- keep the first fraction
Change- change the division sign into a multiplication sign
Flip- flip the second fraction
So your problem really is:
[tex]\frac{1}{6} *\frac{9}{2}[/tex]
Which is: 9/12 or 3/4
Simplify this expression
[tex]\frac{(a^8a^6)}{a^2} ^\frac{1}{7}[/tex]
Answer:
Step-by-step explanation: The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form.
There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?
Answer:
1/3 of the day
Step-by-step explanation:
8/24 simplifies to 1/3
Due in 1 min please help!!!!!
;)
In the figure shown below find the value of a, round to the nearest tenth.
What Pic or Figure Lol
Plzzzzz help plzzzzz help meeee
Don’t understand this question will give brainless thing
Answer:
6.32 units
Step-by-step explanation:
The line shown can be considered to be the hypotenuse of a right triangle that has side lengths of 2 and 6. These values can be found by counting the vertical and horizontal numbers of grid squares between the two end points.
The Pythagorean theorem is used to find the length of the hypotenuse. It tells you the square of the hypotenuse is equal to the sum of the squares of the sides:
AB² = 2² +6²
AB² = 4 + 36 = 40
Taking the square root, you find ...
AB = √40 ≈ 6.32456
__
We want to round this value to the nearest hundredth, so we look at the thousandths digit to see whether to round up. That digit is 4, so we simply delete all the digits to the right of the hundredths place.
Line AB is 6.32 units long.
Find the measure of angle Y.
Answer:
Y = 62°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
W + X + Y = 180°
(4n -9°) + (7n -16°) +(6n -16°) = 180°
17n -41° = 180° . . . . . . . . . . simplify
17n = 221° . . . . . . . . . . add 41°
n = 13° . . . . . . . . . . divide by 17
Then the measure of Y is ...
Y = 6n -16° = 6(13°) -16° = 78° -16°
Y = 62°
_____
The other angles are W = 43°, X = 75°.
Angles of a triangle adds to 180° .
===============================> W + X + Y = 180°
=> (4n-9°) + (7n-16°) + (6n-16°) = 180°
=> 17n-41° = 180°
=> 17n = 180° + 41°
=> 17n = 221°
=> n = 221/17
=> n = 13°
The measure of Y is,=> 6n-16° = 6(13°) -16° = 62°
Y = 62°
Leon has to drive 36 miles to work. If he can average a speed of 48 miles per hour, about how long does it take him to get to work each day? (Hint: Use the formula d = rt.)
1. a quarter of an hour
2. three-fourths of an hour
3. half an hour
4. more than an hour
Answer:
i think the answer is 45 mins sorry if im wrong
Help me pls imma fail
Answer:
-
Step-by-step explanation:
5. Randall wants to buy a pizza. He can
select from 4 different sizes (s,m,Ixl), three
types of crust (pan, thin, hand toss), and
two toppines (cheese or pepperoni). How
many different outcomes of pizza can
Randall order?
Answer: 18 outcomes
Step-by-step explanation:
For the small:
pan+cheese
or
pan+pepperoni
or
thin + cheese
or
thin + pepporoni
or
hand + cheese
or
hand + pepperoni
which is 6 outcomes
then 6x3(because of the sizes) is 18.
where is the √ 125 on a number line
Answer:
im 11 and
Step-by-step explanation:
i just need points i have -32
Find the hypotenus of the following triangles.
Answer:
a 17, b 10, c 15, d 20
Step-by-step explanation:
a^2+b^2=c^2
64+225 = 289
a = 17
36+64 = 100
b = 10
81+144 = 225
c = 15
256+144 = 20
Hope that helps
Write the equation of the line graphed below in the form y = mx + b
Answer:
y= -1/4x + 2
Step-by-step explanation:
so basicly find the slope first which is "m"
to do that do rise/run or do y2-y1/x2-x1
rise over un in this case is -1/4
slope is negative so its -1/4 = m
that find y intercept which is "b"
in this case its 2
then put it in formula
y=mx+b
y= -1/4x + 2
Luciano can type 190 words in 5 minutes. Which of the following ratios are in a proportional relationship with Luciano's typing speed?
Select all that apply.
38/1
74/2
230/45
290/105
570/15
950/25
Answer:
38/1570/15950/25Step-by-step explanation:
The given rate, in words per minute, is ...
(190 words)/(5 min) = 38 words/min
The offered ratios are ...
38/1 = 38 . . . . proportional
74/2 = 37 . . . . NOT proportional
230/45 ≈ 5.11 . . . NOT proportional
290/105 ≈ 2.76 . . . NOT proportional
570/15 = 38 . . . . proportional
950/25 = 38 . . . . proportional
Find the equation of this line.
Answers ASAP THANKS!!!
no one helped so im asking for these 2 again
Answer:
3. Option No. 2:
6x + 2y = 22
3x + 3y = 18
4. Option No. 2:
$2.50
Step by step explanation:
4. 6x + 2y = 22
(3x + 3y = 18) * 2
- Negate
6x + 2y = 22
6x + 6y = 36
2y - 6y = 22 - 36
-4y = -14
y = -14/-4
y = 3.5
An order of onion rings = $3.50
- Substitute to find for x
6x + 2(3.5) = 22
6x + 7 = 22
6x = 22 - 7
6x = 15
x = 15/6
x = 2.5
An order of French fries = $2.50
Help: Justify why one relation is a function and why the other is not. Relation 1:
(1,2) (2,4) (3,6) (4,8)
Relation 2: (1, 3), (4, 2), (7, 1), (4,
Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.
On the other hand, relation 2 is not a function because x = 4 repeats itself. The input x = 4 leads to more than one output.
Evaluate the function.
f(t)=-2t - 1; Find f(-9)
Answer:
17
Step-by-step explanation:
substitute t = - 9 into f(t) , that is
f(- 9) = - 2(- 9) - 1 = 18 - 1 = 17
x/5 - 74 = 26
what is x
Step-by-step explanation:
x/5 - 74 = 26
x/5 = 26 + 74
x/5 = 100
x = 100 x 5
x = 500
X
Multiply by taking
Multiply.
20 X 600
Stuck? Review related articles/videos or use a hint.
_____5.Six times a number less four is equal to eight.
Answer:
1. 4x = 15
2. 4(n - 3) = 24
3. 2n + 5 = 13
4. (3/4)n = 9
5. 6x - 4 = 8
Step-by-step explanation:
this should be correct. hope this helps!
jim writes 10/4words evry day how many words does he write in 10/3 days
Answer:
10/4 per day (2.5 words simplified)
10/3 days he wrote so far (around 3 days simplified)
so in order to find out how much he wrote in total multiply the two numbers together
2.5 x 3 = around 7.5 or 8 words
2. The wholesale price of the skirt is $12 and the retail price is $24.
How much is the markup?
nah
So ein
What percent of the wholesale price is the markup?
With the sale price being $12 and the retail price being 24, it is a 12 dollar markup or 50% considerably.
pls help i need help
[tex](5^6)^0 \\\\=5^0\\\\=1[/tex]
What is the equation for Having your boss pay you 10,000 a day for 3 full weeks
Answer:
210,000 units
Step-by-step explanation:
Let d represent each day
Let p represent amount paid
p = 10000x
If paid for 3 full weeks.
3 weeks is 3x7 =21 days so:
p = 10000x
p = 10000(21)
p = 210000 units
Answer:
210,000
Step-by-step explanation:
10,000x(3x7)
10,000x21=210,000
need help asap :( i don’t understand it, it’s confusing lol
Answer:
At the end of the 4th round
x=4
Step-by-step explanation:
Put in a value for x for both equations
3(4) + 50 = 62
4(2)^4 = 64
62<64
So in round 4, Zavion will have more points
write 15 and 40 ratio simplest form
Answer:
15:40
Step-by-step explanation:
