The results of a recent study regarding smoking and three types of illness are shown in the following table. Non-Smokers Smokers Totals Illness Emphysema 20 50 70 70 80 150 Heart problem 40 40 80 Cancer 130 170 300 Totals We are interested in determining whether or not illness is independent of smoking. a. State the null and alternative hypotheses to be tested. b. Show the table of the expected frequencies. c. Compute the test statistic. The null hypothesis is to be tested at the 5% level. Determine the critical value for this test. d. What do you conclude? Determine the n-value and perform the test Make a conclusion
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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