c). Where will be bootstrap distribution be centered? What shape do we expect it to have?

Example 2: Reeseâ€™s Pieces We wish to estimate the proportion of Reeseâ€™s Pieces that are orange, and we have one package of Reeseâ€™s Pieces containing 55 pieces. Describe carefully how we can use this one sample to create a bootstrap statistic. Be specific.Mix up the pieces and pull one out and record whether or not it is orange and then put it back. Mix them up again, pull one out again and record whether or not it is orange. Put it back and continue the process until we have recorded the result for 55 pieces sampled this way. Compute the proportion of orange candies from this bootstrap sample.Quick Self-Quiz: Bootstrap SamplesA sample consists of the following values: 8, 4, 11, 3, Which of the following are possible bootstrap samples from this sample? 7.

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Yes.

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Yes.

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Example : Global Warning by Political PartyDoes belief in global warming differ by political party? When the question â€śIs there solid evidence of global warming?â€ť was asked, the sample proportionanswering â€śyesâ€ť was 79% among Democrats and 38% among Republicans. A bootstrap distribution for the difference in proportions () is shown (assuming samples of size 1000 from each party). Use the information there to give a 95% CI for the difference in proportions.The sample difference in proportions is 0.79 â€“ 0.38 = 0.41 and the standard error from the bootstrap distribution is 0.020 so we compute the 95% confidence interval using 0.41 ď‚±2(0.020), giving an interval of 0.37 to 0.45. We are 95% confident that the proportion of Democrats who believe there is solid evidence of global warming is between 0.37 and 0.45 higher than the proportion of Republicans who believe this.Example : Global WarmingWhat percentage of Americans believe in global warming? A survey on 2,251 randomly selectedindividuals conducted in October 2010 found that 1,328 answered Yes to the question â€śIs there solid evidence of global warming?â€ť A bootstrap distribution for this data is shown. Use the