Members of a basketball team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it
turns up heads more often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of heads. Her trial results in 42 heads. She decides to carry out a significance test. What is the p-value she obtains and the general conclusion that can be made at a 90% significance level?
1 answer:
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which follows from the usual change of coordinates via
and Jacobian determinant
Swap the order, so that the integral is
and now let
The Area of rectangle is "" and the equation of the semi circle is "
".
According to the question,
The vertices of rectangle,
(5, 0) and (-5, 0)
Length,
l = 10 unit
Breadth,
b = 3 unit
Radius of semi circle,
r = 6
Centre of origin,
(0, 0)
As we know,
→ The Area of rectangle is:
=
=
=
and,
→ The Equation of semi circle is,
by substituting the values, we get
Thus the above is the correct answers.
Learn more about Area of rectangle here: