In order to make sure that their bags of chips are of sufficient weight, the Chipper Chip Company try to fill their 200 gram bags of chips with more than 203 grams. You have been given the task of investigating what proportion of bags produced do have over 203 grams of chips in them. You sample 112 bags and find that the proportion of these with over 203 grams is 0.77. You decide to construct a 95% confidence interval for the population proportion of chip bags that have more than 203 grams of chips.
a)Calculate the lower bound for this confidence interval. Give your answer as a decimal to 3 decimal places.
Lower bound for confidence interval =
b)Calculate the upper bound for this confidence interval. Give your answer as a decimal to 3 decimal places.
Upper bound for confidence interval =
A quality inspector proposes that the true proportion of chip bags with over 203 grams of chips is 0.742.
c)With a level of confidence of 95%, can/ cannot you rule out this possibility.