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:
1) x=1/2-y/2-3z
2)x= 16/3- 2y/3- 5z/3
3)x= 11/7- 3y/7+ 4z/7
Step-by-step explanation:
isolate the variable, to do that divide each side by the factors that don't contain the variable
Answer:
C=60/h
Step-by-step explanation:
Cost is inversely Proportional to the number of friends who decides to host.
If five (5) friends host the party,
And each friend pays $12 for food and supplies
The equation that describes the relationship is
C=k ×1/h
Where,
C= cost that each host pays
K=constant
h=number of host
Therefore,
$12=k×1/5
$12=k/5
Make k the subject of the formula
$12=k*1/5
Multiply both sides by 5
12×5=k*1/5×5
60=k*5/5
60=k*1
60=k
Sub the value of k into
C=k ×1/h
C=60*1/h
C=60/h
The answer would be .67 or .66666... since it’s infinite; or 2/3 in fraction form