Please answer the following question using STAT:

Hitchhiker Snails A type of small snail is very widespread in Japan, and colonies of the snails that are genetically similar have been found very far apart. Scientists wondered how the snails could travel such long distances. A recent study' provides the answer. Biologist Shinichiro Wada fed 174 live snails to birds and found that 26 of the snails were excreted live out the other end. The snails apparently are able to seal their shells shut to keep the digestive fluids from getting in. 1Yong, E., "The Scatological Hitchhiker Snail" Discover, October 2011, 13. (e) What is the best estimate for the proportion of all snails of this type to live after being eaten by a bird? Round your answer to three decimal places. Best estimate = i eTextbook and Media(b) Figure 1 shows a bootstrap distribution based on this sample. 100 BO 60 40 20 OL 0.06 0.08 0.10 0.12 0.14 0.16 0.18 D.20 0.22 0.24 0.15 Figure 1 Bootstrop distribution of sample proportion of the snails that live Find the standard error. Round your answer to three decimal places. Standard error = 1 eTextbook and Media [c) Use the standard error from part (b) to find a 95%% confidence interval for the proportion of all snails of this type to live after being eaten by a bird. Round your answer to three decimal places. The 95%% confidence interval is to I eTextbook and Media(d) Using your answer to part (C). is it plausible that 24% of all snails of this type live after being eaten by a bird? O Yes O No eTextbook and MediaDo Teen Problems Differ Based on Income Level? A survey aksed US teens whether they consider anxiety/depression a major problem among their peers. The table below shows the results of whether teens said it was a major problem or not, based on household income level of the teens. Income Major Not major Total problem problem Less than $75,000 380 150 536 More than $75,000 258 126 384 Total 644 276 We are interested in estimating the difference in proportion who think it is a major problem, between the two groups. (e) What proportion of teens in households with income below $75,000 think it is a major problem? 1 (round to three decimal places) What proportion of teens in households making more than $75,000 think it is a major problem? i [round to three decimal places) eTextbook and Media (b) Give notation of the relevant sample statistic. # P1 eTextbook and Media[b) Give the value of the relevant sample statistic. eTextbook and Media (c) Use Statkey or other technology to find the standard error for this statistic using a bootstrap distribution. 1 eTextbook and Media [d) Use the standard error to find a 95%% confidence interval for the difference in proportions. i to 1 eTextbook and Media (e) Can we conclude that there is a difference in the proportion believing anxiety/depression is a major problem for their peers. between those with household income below $75.000 and those with income above that level? eTextbook and Media