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The purple line is tangent. Tangent line intersects a circle in only 1 point
The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
The green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc
The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
The green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc
<h2>Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120
The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis : [ it takes equality (=, ≤, ≥) ]
Alternative hypothesis : [its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic :
Using z-vale table ,
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.