Answer:
The answer is A
Step-by-step explanation:
Reject the null concluding that there is evidence the proportion is higher for men.
Using the z-distribution, as we are working with proportions, it is found that the correct option is:
b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportions are the same, that is:
[tex]H_0: p_M - p_W = 0[/tex]
At the alternative hypothesis, it is tested if it is higher for men, that is:
[tex]H_1: p_M - p_W > 0[/tex]
What is the distribution of the difference of proportions?For each sample, we have that:
[tex]p_M = \frac{155}{254} = 0.6102, s_M = \sqrt{\frac{0.6102(0.3898)}{254}} = 0.0306[/tex]
[tex]p_W = \frac{157}{301} = 0.5216, s_W = \sqrt{\frac{0.5216(0.4784)}{301}} = 0.0288[/tex]
Then, for the distribution of differences, the mean and the standard error are given by:
[tex]\overline{p} = p_M - p_W = 0.6102 - 0.5216 = 0.0886[/tex]
[tex]s = \sqrt{s_M^2 + s_W^2} = \sqrt{0.0306^2 + 0.0288^2} = 0.042[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis, hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0886 - 0}{0.042}[/tex]
[tex]z = 2.11[/tex]
What is the decision?Considering a right-tailed test, as we are testing if the proportion is higher than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex].
Since the test statistic is greater than the critical value for the right-tailed test, there is enough evidence to reject the null hypothesis that the there is no evidence that the proportion is higher for men, hence option b is correct.
More can be learned about the z-distribution at https://brainly.com/question/26454209
What is the next number in the sequence 28, 26, 24, 22,
Answer:
30
Step-by-step explanation:
it counting by 2s but backwards
Answer:
20
Step-by-step explanation:
subtract by 2
jajakkalalallalalslsl [ignore this]
Tyshdhhehdrhrhfhfurjrjd
Answer:
.....
Step-by-step explanation:
NEED HELP!!!!THIS IS FOR A TESTTTTTTTTTTTTTTTTT
Answer:
The first is 26 and the second is 6
Find the missing side length.
x = 6
Explanation:
use the pythagorean theorem which is a^2 + b^2 = c^2. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.
Isaac buys 17 anti-pollution masks for £5.25 each.
He pays with five £20 notes.
a) How much change should Isaac get?
Write your answer in £.
The normal price of an e-scooter is £370
In a sale, there is 1 off the normal price of the e-scooter.
b) Work out the price of the e-scooter in the sale.
Write your answer in £.
Answer:
A) Isaac should get £ 10.75 in change.
B) The price of the e-scooter in the sale is £ 366.3.
Step-by-step explanation:
A) Given that Isaac buys 17 anti-pollution masks for £ 5.25 each, and he pays with five £ 20 notes, to determine how much change Isaac should get, the following calculation must be performed:
(20 x 5) - (17 x 5.25) = X
100 - 89.25 = X
10.75 = X
So Isaac should get £ 10.75 in change.
B) Given that the normal price of an e-scooter is £ 370 and, in a sale, there is 1 off the normal price of the e-scooter, to determine the price of the e-scooter in the sale the following calculation must be performed:
370 - (370 x 0.01) = X
370 - 3.7 = X
366.3 = X
Thus, the price of the e-scooter in the sale is £ 366.3.
What is the greatest common factor of 36,12, and 45
Answer:
3
Step-by-step explanation:
i’ll give you brainlest please help me!!!!
Answer:
145° I think
Step-by-step explanation:
the number sequence
If PQRS is a parallelogram, find the values of X and Y
Please help!!
Answer:
X = 4
y = 15
Step-by-step explanation:
I hope that is useful for you :)
Help Me Please...............(2)
Answer:
-0.499
Step-by-step explanation:
Isnt that it? xD
or 1.41
Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 65% of the business days it is open. Estimate the probability that the store will gross over $850 for the following. (Round your answers to three decimal places.)
(a) at least 3 out of 5 business days
(b) at least 6 out of 10 business days
(c) fewer than 5 out of 10 business days
(d) fewer than 6 out of the next 20 business days If the outcome described in part (d) actually occurred, might it shake your confidence in the statement p = 0.65? Might it make you suspect that p is less than 0.65? Explain. Yes. This is unlikely to happen if the true value of p is 0.65. Yes. This is likely to happen if the true value of p is 0.65. No. This is unlikely to happen if the true value of p is 0.65. No. This is likely to happen if the true value of p is 0.65.
(e) more than 17 out of the next 20 business days If the outcome described in part (e) actually occurred, might you suspect that p is greater than 0.65? Explain. Yes. This is unlikely to happen if the true value of p is 0.65. Yes. This is likely to happen if the true value of p is 0.65. No. This is unlikely to happen if the true value of p is 0.65. No. This is likely to happen if the true value of p is 0.65.
Answer:
A) P(X ≥ 3 ) = 0.7648
B) P(X ≥ 6) = 0.7515
C) P(X < 5) = 0.0949
D) P(X < 6) = 0.00031113
Yes. This is likely to happen if the true value of p is 0.65
E) P(X ≥ 17) = 0.012118
No. This is unlikely to happen if the true value of p is 0.65
Step-by-step explanation:
Solving this question means we have to deal with binomial probability distribution which follows a formula;
P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)
We are given p = 65% = 0.65
A) probability of getting At least 3 out of the 5 business days, we have;
P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)
And n = 5
Thus;
P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)
P(X = 3) = 0.3364
P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)
P(X = 4) = 0.3124
P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)
P(X = 5) = 0.116
Thus;
P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116
P(X ≥ 3 ) = 0.7648
B) Probability of getting at least 6 out of the 10 business days.
P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
From online binomial calculator, we have;
P(X = 6) = 0.2377
P(X = 7) = 0.2522
P(X = 8) = 0.1757
P(X = 9) = 0.0725
P(X = 10) = 0.0134
P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134
P(X ≥ 6) = 0.7515
C) probability of getting fewer than 5 out of the 10 business days.
P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)
From online binomial calculator, we have;
P(X = 4) = 0.0689
P(X = 3) = 0.0212
P(X = 2) = 0.0043
P(X = 1) = 0.0005
P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005
P(X < 5) = 0.0949
D)probability of getting fewer than 6 out of the next 20 business days;
P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)
From online binomial calculator, we have;
P(X = 5) = 0.000261
P(X = 4) = 0.000044
P(X = 3) = 0.0000056
P(X = 2) = 0.0000005
P(X = 1) = 0.00000003
P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003
P(X < 6) = 0.00031113
Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.
E) probability of getting more than 17 out of the next 20 business days.
P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)
From online binomial calculator, we have;
P(X = 18) = 0.0099846
P(X = 19) = 0.00195187
P(X = 20) = 0.00018125
P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125
P(X ≥ 17) = 0.012118
Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65
7
Are the two triangles similar? If so, why are they similar?
(a)
A The triangles are similar by the definition of similarity (all congruent angles, all proportional sides)
B The triangles are similar by AA- Theorem
The triangles are similar by SSS- Theorem
The triangles are not similar
(b)
If they are similar, what is the similarity statement?
A ASTR - ALKR
Answer:
option B is correct answer
because it is similar by AA similarity -.theorum
Pls someone help i will put brainlyist
PLEASE ANSWER QUICKLY IT WOULD HELP A LOT <33
Can someone help me please I put the picture
Answer:
x=8ft
Step-by-step explanation:
the triangle was multiplied by 2
3x3=6
4x4=8
Mrs.jeffries has 12 girls out of 16 students on the student council.The earth day committee has 4 girls out of the 8.Are the ratios equivalent?
Answer:
not equivalent.
Step-by-step explanation:
Determine if the ordered pair (-4,3) is a solution of
4x - y = -13
Show ALL your work here
Answer:
This is NOT a solution
Step-by-step explanation:
If we plug in the coordinates (-4,3) into 4x-y our new equation is 4×-4-3 and if we solve this equation.... 4×-4=-16 and -16-3=-19 which does NOT equal to -13
A certain television is advised as a 37-inch tv (the diagonal length).if the width of the tv is 12 inches,how many inches tall is the tv
A mirror is the shape of an ellipse defined by y^2/7.29 + x^2/6.25 = 1 with units in feet. Which statement identifies the
orientation of the mirror and its greatest dimension?
Answer:
a (The mirror has a vertical orientation and is 5.4 ft tall.)
Step-by-step explanation:
a on edg 2021 ^u^
Answer: A. The mirror has a vertical orientation and is 5.4 ft tall.
Step-by-step explanation:
Since the y^2 value is being added first, and the value in its denominator is greater, we know that the ellipse has a vertical major axis.
Therefore, its orientation is vertical.
The square root of is 7.29, so 2.7 is the distance from the center to one of the ellipse's vertices. (You can research further into the equation for ellipses with vertical major axes to learn why that is.)
Multiply 2.7 * 2 = 5.4 to determine the full height of the mirror.
Yay! We figured out that "the mirror has a vertical orientation and is 5.4 ft tall".
Rohail sell 300g of cashew nuts . Gauhar sell 150g more than Rohail. What is the total weight sold?
Answer:
the total weight sold is 750g
Step-by-step explanation:
300+150=450
450+300 = 750
please mark me as brainliest its beside the rate sign and it looks like a king icon
4. Mia ran 10 laps in 8 minutes. Shawna ran 4 laps in 3 minutes. Which person ran at a faster rate? * O Mia ran at a faster rate. Sawna ran at a faster rate. O They both ran at the same rate.
Answer:
Shawna ran at a faster rate.
Step-by-step explanation:
Because of Shawna ran for 10 minutes just like Mia, it would take her 7.5 mins while Mia took 8minutes to run 10 laps
help pls!!!!!!!!!!!!
giving brainliest !! *easy*
ih4egjhbsDLJFB sFHBseiuhFB skefByefusj:FKBs:iuyeGFBsjk :efge8FUIsj
Answer:
v = 49 pied square cm squared x 4 cm
Step-by-step explanation:
ill mark brainlist plss help
Answer:
C
Step-by-step explanation:
Answer: C: 204 ft
Step-by-step explanation: plz mark me brainliest. 12x17=204
What does x=
Help quickly, please!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
see in the picture, we can see that SPRQ is a parallelogram
=> 70 = 14x
⇔ x = 70/14
⇔ x = 5
Step-by-step explanation:
Triangle FGH is dilated by a scale factor of 5 to form triangle F'G'H'. Side F'G'
measures 15. What is the measure of side FG?
Answer:
The measure of side FG is 3.
Step-by-step explanation:
Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.
From the given question,
scale factor = 5
measure of side F'G' = 15
Thus,
scale factor = [tex]\frac{measure of side F'G'}{measure of side FG}[/tex]
side F'G' = scale factor x side FG
⇒ 15 = 5 x side FG
So that,
side FG = [tex]\frac{15}{5}[/tex]
= 3
The measure of side FG is 3.
Please answer 5-12 I would really appreciate it, thank you!
The Polygons are similar. Solve for x
10
9
6
12
Step-by-step explanation:
[tex] \frac{ - 2 + 7x}{32} = \frac{25}{20} [/tex]
[tex] \frac{ - 2 + 7x}{32} = \frac{5}{4} [/tex]
4(-2+7x) = 5(32)
-8 + 28x = 160
28x = 160+8
28x = 168
x = 168/28
= 42/7
= 6
Of the pets in the pet show,
5
8
are cats.
4
5
of the cats are calico cats.
What fraction of the pets are calico cats?
Enter the fraction in simplest form.
Answer:
45/58 it is already in simplest form
Step-by-step explanation:
Answer:
1 17/40
Step-by-step explanation:
[tex]\frac{5}{8} + \frac{4}{5} \\[/tex]
Find the common denominator, which is 40
so then 5/8 = 25/40 and 4/5 = 32/40
[tex]\frac{25}{40} + \frac{32}{40} = \frac{57}{40} = 1 \frac{17}{40}[/tex]
write two numbers that multiply to the value on top and add to the value on bottom
Answer:
4 and 10
Step-by-step explanation:
4 x 10 = 40
4 + 10 = 14
Apply the distributive property to factor out the greatest common factor.30+42 30+42 30+42
Answer:
6(5·7)
Step-by-step explanation:
Given function:
30+42to find the answer using distributive property..what distributive property is:
to find the greatest common factor and then multiply using parentheses.Factoring out the greatest common factor:
[tex]6=30[/tex]·[tex]5[/tex] [tex]6=42[/tex]·[tex]7[/tex]Rewrite the expression using parentheses:
[tex]6 ( 5[/tex]·[tex]7)[/tex]Therefore, with using distributive property, we can change the expression 30+42 into 6(5·7).
answer:
6(5+7)
step by step eqaution:
6(5+7)