Please answer the following question using STAT:

Does a Common Ingredient in Soap Increase Staph Infections? Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so we expect it to lower one's chance of having a staph infection. However, the opposite was found in a recent study.' Microbiologists swabbed the noses of 90 people, and recorded which had detectable levels of triclosan and which had evidence of carrying the staph bacteria, which greatly increases one's chance of having a serious staph infection. The results are shown in the table below. Use the results of this study to estimate the difference in the proportion of people with staph bacteria, between those with triclosan in their system and those without (proportion for those who have triclosan in their system - proportion for those who do not have triclosan in their system). (As a result of this study and others, the US Food and Drug Administration is investigating whether adding triclosan to personal care products is safe and effective.) Staph No Staph Total Triclosan 24 No Triclosan 15 38 57 Total 30 51 90 Click here to access StatKey. Let group I be people with staph infections of all people with triclosan in their system and let group 2 be people with staph infections of all people who do not have triclosan in their systems. 1Mole B, "Triclosan aids nasal invasions by staph" Science News, April 15, 2014. (e) Give notation for the parameter we are estimating " P2 H E1 eTextbook and Media[b) Give notation for the best estimate. # PI # P eTextbook and Media (c) Give the value of the best estimate. Round your answer to three decimal places. Best estimate eTextbook and Media (d) Give the 99 % confidence interval. Round your answers three decimal places. The interval is to eTextbook and Media(e) Can we conclude that people with triclosan in their systems are more likely to have staph infections? Can we conclude that triclosan causes the increase in staph infections? eTextbook and Media