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Complete Question
A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim?
State the null and alternative hypotheses for the above scenario.
Answer:
The null hypothesis is
The alternative hypothesis
Step-by-step explanation:
From the question we are told that
The population proportion is
The level of significance is
The null hypothesis is
The alternative hypothesis
Applying the angle of intersecting secants theorem, the measure of arc JML is: 262°.
<h3>What is the Angle of Intersecting Secants Theorem?</h3>The angle of intersecting secants theorem states that when two lines form an external angle outside a circle, the measure of the angle is half the difference between the measure of the major and minor intercepted arcs.
Thus:
m∠JKL = (measure of arc JML - measure of arc JL)/2 => angle of intersecting secants theorem
m∠JKL = 8x - 6
measure of arc JML = 25x - 13
measure of arc JL = 360 - (25x - 13)
Plug in the values
8x - 6 = [(25x - 13) - (360 - (25x - 13))/2]
Solve for x
2(8x - 6) = [(25x - 13) - (360 - 25x + 13)]
16x - 12 = [(25x - 13) - (373 - 25x)]
16x - 12 = 25x - 13 - 373 + 25x
16x - 12 = 50x - 386
16x - 50x = 12 - 386
-34x = -374
x = 11
Measure of arc JML = 25x - 13
Plug in the value of x
Measure of arc JML = 25(11) - 13 = 262°
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