ivan surveyed 49 randomly selected players from the 134 players of the soccer club teams to see if they…

ivan surveyed 49 randomly selected players from the 134 players of the soccer club teams to see if they wanted the games to be played on saturdays or sundays. twenty - two of the players said that they preferred that the games be played on saturdays. ivan correctly determined that the margin of error, e, of his survey using a 99% confidence interval (z*score 2.58) is approximately 18%. what is the 99% confidence level for players who prefer the games be played on saturdays? c = \\(\\hat{p}\\pm e\\) between 4% and 40% between 19% and 55% between 27% and 63% between 31% and 67%

ivan surveyed 49 randomly selected players from the 134 players of the soccer club teams to see if they wanted the games to be played on saturdays or sundays. twenty - two of the players said that they preferred that the games be played on saturdays. ivan correctly determined that the margin of error, e, of his survey using a 99% confidence interval (z*score 2.58) is approximately 18%. what is the 99% confidence level for players who prefer the games be played on saturdays? c = \\(\\hat{p}\\pm e\\) between 4% and 40% between 19% and 55% between 27% and 63% between 31% and 67%

Answer

Explanation:

Step1: Calculate sample proportion

$\hat{p}=\frac{22}{49}\approx0.449$

Step2: Calculate confidence interval

$C=\hat{p}\pm E$ $C = 0.449\pm0.18$ Lower limit: $0.449 - 0.18=0.269\approx27%$ Upper limit: $0.449 + 0.18 = 0.629\approx63%$

Answer:

between 27% and 63%