Question

Find the 95% confidence interval for the proportion of car accidents that have teenage dnvers: ). (Use 4 decimalsi) (b) How should this interval be interpreted? We are 950 confident that a randomly chosen accident with a teenage driver will falf inside the above interval. We-are 95% confident that the percent of accidents that have teenage divers is 14.040. We are 950 confident that the proportion of all accidents with teenage drvers is inside the above intervat: We are 95%. confident that of the 556 sampled accidents, the propertion that have a ceenage driver falls inside the above incerval. (c) Wrat does "95 ib confidence" mean? We expect that 95 m ot random samples of size 556 will produce that contain(s) the of aceidents with tevenage drivers. (d) A politician urging toghter restrictons on teen denver licenses nays. "20W of cat accidents have a teenage criver." What would be the outcome of a hypotheis test to. determine if this politician is wrong? endenoe the true percentsge is

Answer 1

1) The 95% confidence interval for the proportion of car accidents with teenage drivers is (0.1216, 0.1784).

2) This interval suggests that we are 95% confident that the true proportion of accidents involving teenage drivers falls between 12.16% and 17.84%.

Step-by-step explanation:

1) To calculate the confidence interval, statistical methods are applied using sample data. In this case, the interval (0.1216, 0.1784) is generated for the true proportion of car accidents with teenage drivers, providing a range within which we can be 95% confident the population parameter exists.

2) Interpreting the interval, it means we are reasonably sure that the actual proportion of accidents involving teenage drivers lies between 12.16% and 17.84%. This range is derived from the observed sample data and the statistical methods used.