1. Construct a 99% confidence interval for the proportion of U.S. adult Twitter users who gat some news on Twitter. Round to four decimal places. to 2. Identify each of the following statements true or false V 1. Based on the interval, it is reasonable to believe that at least half of U.S. adult Twitter users get some news through Twitter. 2. Since the standard error is 2.4%, we can conclude that 97.6% of all U.S. adult Twitter users were included in the study. v 3. If we construct a 90% confidence interval for the percentage of U.S. adults Twitter users who get some news through Twitter, this confidence interval will be narrower than a corresponding 99% confidence interval. 4. If we want to reduce the standard eror of the estimate, we should collect less data.
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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