A randomized clinical trial on Linus Pauling's claim that vitamin C helps prevent the common cold was carried out in Canada among 819 volunteers. The data showed that 336 of the 411 in the placebo group got colds over the winter in which the study was conducted, while 306 of the 408 in the vitamin C group got colds. Carry out all calculations exactly and round the final answer only. Find p-value to three decimal places. p-value = a. Test to see if there is evidence of a statistically significant difference in proportions here, using a 0.05 level of significance. b. Test to see if there is evidence of a statistically significant difference in proportions here, using a 0.01 level of significance. Does your conclusion change from your interpretation in part a?