**Transcription for Educational Website: Statistical Analysis of Accidental Poisoning in Children****Introduction:**A child dying from an accidental poisoning is a terrible incident. This study investigates whether a male child is more likely to suffer from poisoning compared to a female child. Data was collected showing that out of 1893 children between the ages of one and four who passed away from poisoning, 995 were males and 898 were females. The hypothesis test is conducted at the 1% significance level to determine if more male children die from poisoning than female children.**Hypotheses:**- Null Hypothesis (H₀): \( p_1 \leq p_2 \)- Alternative Hypothesis (Hₐ): \( p_1 > p_2 \)**Statistical Analysis:**1. **Calculate the Test Statistics:** - Proportion of male children dying, \( \hat{p}_1 \) - Proportion of female children dying, \( \hat{p}_2 \) - Round both to four decimal places.2. **Calculate the Standardized Test Statistic:** - \( z = \) (Standardized test statistic value) - Round to three decimal places.3. **Find the p-value:** - Determine the p-value and round it to four decimal places.**Decision Making:**- The decision is based on the p-value: - Since the p-value is greater than .01, we fail to reject \( H₀ \).**Interpretation of Results:**- At the 1% significance level, there isn't enough evidence to show that the proportion of male children dying from poisoning is not equal to the proportion of female children dying from poisoning.This analysis suggests that the data does not provide sufficient statistical evidence to conclude that male children are more prone to die from accidental poisoning compared to female children at a significance level of 1%.

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A child dying from an accidental poisoning is a terrible incident. Is it more likely that a male child will get into poison than a female child? To find this out, data was collected that showed that out of 1893 children between the ages one and four who pass away from poisoning, 995 were males and 898 were females. Do the data show that there are more male children dying of poisoning than female children? Test at the 1% level. State the hypotheses. Ho: P₁= V Ha: P1 Calculate the test statistics. Round to four decimal places. P1 = P2 = Calculate the standardized test statistic. Round three decimal places. Z = P2 P2 Find the p-value. Round to four decimal places. p-value = State your decision. X X Since the p-value is less than .01, fail to reject Ho. O Since the p-value is less than .01, reject Ho. O Since the p-value is greater than .01, reject Ho. O Since the p-value is greater than .01, fail to reject Ho. Interpret the results. At the 1% level of significance, there is not enough evidence to show that the proportion of male children dying of poisoning is more than the proportion of female children dying of poisoning. At the 1% level of significance, there is enough evidence to show that the proportion of male children dying of poisoning is more than the proportion of female children dying of poisoning. O At the 1% level of significance, there is enough evidence to show that the proportion of male children dying of poisoning is not equal to the proportion of female children dying of poisoning. O At the 1% level of significance, there is enough evidence to show that the proportion of male children dying of poisoning is less than the proportion of female children dying of poisoning. O At the 1% level of significance, there is not enough evidence to show that the proportion of male children dying of poisoning is less than the proportion of female children dying of poisoning. At the 1% level of significance, there is not enough evidence to show that the proportion of male children dying of poisoning is not equal to the proportion of female children dying of poisoning.