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Merge pull request #498 from gungorMetehan/patch-9
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Update 92-appendixB.Rmd
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ismayc committed May 24, 2024
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1. Sample with replacement from our original sample of `r nrow(age_at_marriage)` women and repeat this process 10,000 times,
2. calculate the mean for each of the 10,000 bootstrap samples created in Step 1.,
2. calculate the mean for each of the 10,000 bootstrap samples created in Step 1,
3. combine all of these bootstrap statistics calculated in Step 2 into a `boot_distn` object, and
4. shift the center of this distribution over to the null value of `r mu0`. (This is needed since it will be centered at `r age_summ$mean` via the process of bootstrapping.)

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We can also create a confidence interval for the unknown population parameter $\pi$ using our sample data. To do so, we use *bootstrapping*, which involves

1. sampling with replacement from our original sample of 100 survey respondents and repeating this process 10,000 times,
2. calculating the proportion of successes for each of the 10,000 bootstrap samples created in Step 1.,
2. calculating the proportion of successes for each of the 10,000 bootstrap samples created in Step 1,
3. combining all of these bootstrap statistics calculated in Step 2 into a `boot_distn` object,
4. identifying the 2.5th and 97.5th percentiles of this distribution (corresponding to the 5% significance level chosen) to find a 95% confidence interval for $\pi$, and
5. interpret this confidence interval in the context of the problem.
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