The answer would probably be 18 degrees below normal because the absolute values of the rest are 8 not 18 which is the absolute value of 18 degrees below normal.
Answer:
P value is 0.1932
conclusion is that find value P greater than hypothesis test at the 0.05 level
Step-by-step explanation:
Given data
registered organ donors P = 40%
sample n = 200
registered organ donors x = 74
hypothesis test α = 0.05
to find out
P-value and state a conclusion
solution
we take a trail p less than 40 % i.e 0.40
so p = x/n
p = 74 / 200 = 0.37
so we find here Z value i.e
Z = p - P / √(PQ/n)
here Q = 1-p = 1-0.40 = 0.60
so Z = 0.37 - 0.40 / √(0.40×0.60/200)
Z = - 0.866
so p value for Z (-0.866) from z table
P value is 0.1932
and conclusion is that find value P greater than hypothesis test at the 0.05 level
Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.