The 1958 Detroit Area Study was an important investigation of the influence of religion on everyday life. The sample, "was basically a simple random sample of the population of the metropolitan area" of Detroit, Michigan. Of the 673 respondents, 280 were white Protestants and 222 were white Catholics. The study took place at the height of the cold war. One question asked if the right of free speech included the right to make speeches in favor of communism. Of the 280 white Protestants, 119 said "Yes" while 88 of the 222 white Catholics said "Yes." Give a 95% confidence interval for the difference between the proportion of Protestants who agreed that communist speeches are protected and the proportion of Catholics who held this opinion. Follow the Inference Toolbox. lower bound upper bound

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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.