Answer:
Parameter = 0.5
Null hypothesis : H0 : P0 = 0.5
Alternative hypothesis ; H0 : P0 > 0.5
Pvalue = 0.99966
Step-by-step explanation:
The parameter defines a statistical value or calculation which is derived from the population.
The parameter in this scenario is the population proportion, P0 which is 0.5
The scenario above describes a scenario to test the difference in population.
The null hypothesis, that bride and groom are of the same age ;
H0 : P0 = 0.5
The alternative hypothesis ; the bride is younger Than the groom in more than half of the population.
H1 : p0 > 0.5
To obtain the Pvalue :
Test statistic : (phat - P0) ÷ √(p0(1 -p0) / n)
Phat = x/n
x = 67 ; sample size, n = 100
Phat = x / n = 67/100 = 0.67
P0 = 1 - 0.5 = 0.5
Tstatistic = (0.67-0.50) ÷ √(0.5(0.5) / 100)
Tstatiatic = 0.17 ÷ 0.05
Tstatistic = 3.4
P-value : p(Z < 3.4) = 0.99966 (Z probability calculator).
Answer: f(2) = -4
Step-by-step explanation: Here we're given the function f(x) = -3x + 2 and we are asked to find f(2).
In other words, if we put an <em>x</em> into our function, we get a -3x + 2 out so what happens when we put a 2 into the function?
Well if we put a 2 into the function,
that's f(2) and we get -3(2) + 2 out.
Now all we have to do is simplify on the right side.
-3(2) is -6 so we have -6 + 2 which is -4.
So f(2) is -4.
9514 1404 393
Answer:
$3.36
Step-by-step explanation:
On each pencil, the profit was ...
pencil profit = pencil price - pencil cost
pencil profit = $0.22 -0.15 = $0.07
The number of pencils sold was ...
(4 dz)(12 pencils/dz) = 48 pencils
Then the total profit was ...
(48 pencils)($0.07 /pencil) = $3.36
The store made a profit of $3.36 from pencils.
Answer:
Step-by-step explanation:
Question: 
1) Add 10 to both sides:
2) Multiply both sides by the reciprocal of 2/3: (3/2)
3) Simplify the fraction:
