Question: What is the population size of the place where Shane O'Neill refused to help the English against the Scottish settlers?

<P0-S0> In population genetics, the Watterson estimator is a method for describing the genetic diversity in a population. <P0-S1>  It is estimated by counting the number of polymorphic sites. <P0-S2>  It is a measure of the "population mutation rate" (the product of the effective population size and the neutral mutation rate) from the observed nucleotide diversity of a population. <P0-S3>  formula_1, where formula_2 is the effective population size and formula_3 is the per-generation mutation rate of the population of interest ( ). <P0-S4>  The assumptions made are that there is a sample of formula_4 haploid individuals from the population of interest, that there are infinitely many sites capable of varying (so that mutations never overlay or reverse one another), and that formula_5. <SEP> <P1-S0>  Shane O'Neill's career was marked by his ambition to be The O'Neill – sovereign of the dominant O'Neill family of Tír Eoghain—and thus overking of the entire province. <P1-S1>  This brought him into conflict with competing branches of the O'Neill family and with the English government in Ireland, who recognised a rival claim. <P1-S2>  Shanes's support was considered worth gaining by the English even during the lifetime of his father Conn O'Neill, 1st Earl of Tyrone (died 1559). <P1-S3>  But rejecting overtures from Thomas Radclyffe, 3rd Earl of Sussex, the lord deputy from 1556, Shane refused to help the English against the Scottish settlers on the coast of Antrim, allying himself instead with the MacDonnells, the most powerful of these immigrants. <P1-S4> Shane O'Neill (Irish: "Seán Mac Cuinn Ó Néill" ; c. 1530 – 2 June 1567), was an Irish king of the O'Neill dynasty of Ulster in the mid 16th century. <SEP> <P2-S0> Sample size determination is the act of choosing the number of observations or replicates to include in a statistical sample. <P2-S1>  The sample size is an important feature of any empirical study in which the goal is to make inferences about a population from a sample. <P2-S2>  In practice, the sample size used in a study is determined based on the expense of data collection, and the need to have sufficient statistical power. <P2-S3>  In complicated studies there may be several different sample sizes involved in the study: for example, in a stratified survey there would be different sample sizes for each stratum. <P2-S4>  In a census, data are collected on the entire population, hence the sample size is equal to the population size. <P2-S5>  In experimental design, where a study may be divided into different treatment groups, this may be different sample sizes for each group. <SEP> <P3-S0> County Antrim (named after the town of Antrim, from Irish: "Aontroim" , meaning "lone ridge" , )) is one of six counties that form Northern Ireland. <P3-S1>  Adjoined to the north-east shore of Lough Neagh, the county covers an area of 3046 km2 and has a population of about 618,000. <P3-S2>  County Antrim has a population density of 203 people per square kilometer / 526 people per square mile. <P3-S3>  It is also one of the thirty-two traditional counties of Ireland, as well as part of the historic province of Ulster.