In a recent year, 73% of first-year college students responding to a national survey identified "being very well-off financially" as an important personal goal. A state university finds that 140 of an SRS of 200 of its first-year students say this goal is important. (a) Give a 90% confidence interval for the proportion of all first-year students at the university who would identify being well-off as an important personal goal. Follow the Inference Toolbox. lower bound upper bound (b) Is there good evidence that the proportion of all first-year students at this university who think being very well- off is important differs from the national value, 73%? (Use a = .05.) Z = P-value = Conclusion OThere is significant evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%. OThere is no significant evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%.

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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.

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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.