5. [7,3pts] A manufacturing plant has two assembly lines for producing glass bottles. The plant manager was concerned about whether the proportion of defective bottles differs between the two lines. Two independent random samples were selected and the following summary data computed: Line 1 Line 2 Sample Proportion of Defectives 0.10 0.13 Sample Size 100 100 a. Find a 95% confidence interval for the true difference in proportion of defective bottles produced by the two assembly lines. b. Based on this interval, can one conclude there is a significant difference in proportion of defective bottles produced by the two lines? Justify your