A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging machine will lower the proportion of bags that are damaged. The company selected a random sample of 90 bags from the old machine and found that 95 percent of the bags were damaged, then selected a random sample of 50 bags from the new machine and found that 96 percent were damaged. Have the conditions for statistical inference for testing the difference in population proportions been met? a) No, the condition for independence has not been met, because random samples were not selected.

b) No, the condition that the distribution of the difference in the sample proportions being approximately normal has not been met because is not greater than or equal to 5 for both sample sizes.

c) No, the condition that the distribution of the difference in the sample proportions being approximately normal has not been met because is not greater than or equal to 5 for both sample sizes.

d) All conditions for making statistical inference have been met.

e) No, the condition for independence has not been met, because the sample sizes are too large when compared to the corresponding population sizes.