Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Sin (Angle) = Opposite / Hypotenuse
Sin (X) = 8/17
X = Arcsin(8/17)
X = 28.07 degrees.
Something to the power of baby
Answer:
3) 0.30
The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given 'A' plays a sport
B work part time
Given P(A) = 0.48
P(B) = 0.40
P(A∩B) =0.12
P(A∪B)¹ =0.24
<u><em>Step(ii)</em></u>:-
By using conditional probability

and similarly 
The probability a randomly selected<em> student plays a sport</em> given they work part time
Now 

<u>Final answer</u>:-
The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30