A study was conducted to determine the effectiveness of varying amounts of vitamin C in reducing the number of common colds. A survey of 450 people provided the following information:

Amount of vitamin C

None 500 mg 1000 mg Total

No Colds 57 26 17 100

At least 1 Cold 223 84 43 350

Total 280 110 60 450

Answer the following questions:

1) State the appropriate null hypothesis for testing whether the amount of vitamin C is related to getting colds.

2) Find the expected counts for the top left cell.

3) Given that the Chi-square statistic for this data is 1.99 and the p-value = 0.37,what do we conclude? (Be sure to answer this in the context of the problem - not just reject or not reject.