Inference for a Proportion: An Example of a Confidence Interval and a Hypothesis Test

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I work through an example of a confidence interval and a hypothesis test for a single proportion, using normal approximation methods (Z test and confidence interval).

The data on the proportion of male births is from:
Koshy et al. (2010). Parental smoking and increased likelihood of female births. Annals of Human Biology, 37(6): 789--800.
  1. jbstatistics
  2. proportions
  3. one sample proportions
  4. one sample proportion problems
  5. inference
  6. inference for proportions
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Can I give you a tip (donation) ? You facilitate my learning so much. Your channel is the best.

guillaumegiroux
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Helpful videos, thank you very much! 

melissamontes
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Can you please clear my doubt about Continuity Correction in Hypothesis Testing? In the book that I am studying, it is written that p-hat will be calculated as (X +/- 0.5)/n. They have further clarified that "We always adjust the value of X (i.e. + or -) towards the mean of the distribution under H0". I know that it depends on calculation of p-value (in the sense that we calculate probability of <= or >= Test Statistic). But suppose if we have H1 : p > p0, then continuity correction will be towards mean if we observe Test Statistic to be positive, whereas it will be away from mean if we observe Test Statistic to be negative. So, what is the correct way of doing Continuity Correction?

varundixit
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Hi Prof. Balka, why for a hypothesis test do we use p-naught in the standard error while for the confidence interval of the proportion we use the sample statistic p-hat for the standard error?

cpaddock