Sampling Distribution - Question 3Please solve with simple probability rules **Title: Statistical Analysis on Aboriginal Prisoner Death Rates in Australia****Problem Overview:**A concern was raised in Australia regarding the higher percent of deaths among Aboriginal prisoners compared to non-Aboriginal prisoners. The percent of deaths for non-Aboriginal prisoners is 0.27%. An analysis was conducted using a random sample of 14,495 Aboriginal prisoners, out of which 45 prisoners, or 0.31%, died while in prison. This study aims to evaluate the likelihood that at least 0.31% of the sample would die while in prison if the actual percentage of deaths among Aboriginal prisoners is the same as that for non-Aboriginal prisoners. **Statistical Task:**Determine the probability that at least 0.31% of the random sample of Aboriginal prisoners would die in prison, given that the assumed true percent for Aboriginal prisoners is 0.27%. **Calculation Instructions:**If rounding is necessary, please round the standard deviation of the sampling distribution to five decimal places. **Additional Notes:**- Ensure accurate calculations by considering the sample size and the assumed death percentage.- Use appropriate probability distribution methods to find the required likelihood.- Statistical tools or software may be used for precise computation.By solving this problem, we aim to understand whether the observed death rate in the sample significantly deviates from the expected rate under the assumption that the true percent for Aboriginal prisoners equals the percentage for non-Aboriginal prisoners.

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A concern was raised in Australia that the percent of deaths of Aboriginal prisoners was higher than the percent of deaths for non-Aboriginal prisoners, which is 0.27%. A random sample of 14,495 Aboriginal prisoners showed 45 or 0.31% died while in prison. What is the likelihood at least 0.31% of the the sample would die while in prison if the true percent for Aboriginal prisoners is the same as it is for non-Aboriginal prisoners? NOTE: If applicable, round the standard deviation of the sampling distribution to 5 decimal places.