In a certain school district, it was observed that 24% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 73 out of 224 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a = 0.02 level of significance. What is the hypothesized population proportion for this test? p : (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test Itwo-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) Но:р 3 0.24 Ha:p < 0.24 Но :р 3 0.24 Ha:p + 0.24 Но :р 3 0.24 Ha:p > 0.24 (D) (E) (F) Ho:p = 0.326 Ho:p = 0.326 Ho:p = 0.326 Ha:p < 0.326 Ha:p# 0.326 Ha:p> 0.326 (A) (B) (C) (D) (E) (F) o Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic (z-score) for this sample based on the sample proportion? z = (Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value =

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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.