Answer and explanation:
Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same
Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different
Where p1 is the first population proportion =65/297= 0.22
And p2 is the second population proportion = 78/189= 0.41
P= p1+p2/n1+n2= 65+78/297+189= 0.29
Hence H0= p1-p2=0
Ha=p1-p2≠0
Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)
= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)
= -4.49
Critical value at 95% significance level= 1.96( from tables)
We therefore reject null hypothesis as critical value is greater than test statistic
Therefore the sentiment for increasing speed limit in the two populations is different
b. at proportions of 0.24 and 0.40 for p1 and p2 respectively
Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)
= -3.78
P value is 0.0002 at 0.05 significance level
Hence probability =0.4998
Answer:
Answer:
f(x) = - 4x + 4
Step-by-step explanation:
Step-by-step explanation:
A linear function has the form
f(x) = ax + b, thus
f(0) = a(0) + b = 4, that is
0 + b = 4 , hence b = 4
f(3) = 3a + b = - 8 ← substitute b = 4
3a + 4 = - 8 ( subtract 4 from both sides )
3a = - 12 ( divide both sides by 3 )
a = - 4, thus
f(x) = - 4x + 4
Answer:
1800 mi
Step-by-step explanation:
Recall that (distance) = (rate)(time).
Here, (distance) = (200 mi/hr)(8.5 hr) = 1800 mi
Answer:
Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour
Step-by-step explanation:
Let
x is the amount Harry earns
y is the amount Hamish earns
x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1
x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2
equals 1 and 2
(x-1)*4/5 = (x+2)*5/7
(4x-4)/5 = (5x+10)/7
(4x-4)*7 = (5x+10)*5
28x-28 = 25x+50
28x-25x = 50+28
3x = 78
x = 26
substitute x = 26 for y=(x-1)*4/5
y = (x-1)*4/5
y = (26-1)*4/5
y = 20
the answer is
<h3>Harry earns $26 an hour</h3><h3>Hamish earns $20 an hour</h3>
Answer:
(x - 25) / 4
Step-by-step explanation:
In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...
(x - 25) / 4
