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:
0.3888
Step-by-step explanation:
To solve the exercise we need a neutral time, so we define at 12:00 as time 0.
If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.
If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.
Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as
Man [-20,10]
Woman [-15,20]
So,
Then,
The probability of finding an arrival less than 5 minutes is
Probability of getting heads on first try is 1/2
probability of getting heads on 2nd try is 1/2
probability of getting both is : 1/2 * 1/2 = 1/4
These are both independent because 1 does not effect the other
Answer:
A. Lines on the same plane that never intersect
Step-by-step explanation:
The reason is because they will never intersect.
