6.58 Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choice on 400 multiple-choice questions on a variety of AP exams shows that B was the most common correct choice, with 90 of the 400 questions having B as the answer. Does this provide evidence that B is more likely than 20% to be the correct choice? Define the parameter and state the hypotheses What is the value of the sample statistic?  (use correct notation)   What would be a good graph to display this data?   Are the conditions for the appropriate analysis met?   Explain and show work. Compute the appropriate test statistic (show work). Find the p-value using StatKey. Based on your p-value, what do you conclude?  Use α = 0.05 Find a 95% confidence interval for the proportion of questions on all AP exams having B as the correct choice. (Show your calculations.)  Write a sentence interpreting your confidence interval.

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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.