Write a 3-4 page single spaced essay explaining the overall ideas you learned about math statistic.

Write a 3-4 page single spaced essay explaining the overall ideas you learned about math statistic. The essay should discuss collecting data, bias, experiments, analyzing data, confidence intervals, hypothesis tests, relationship tests, and why knowledge of statistics is important in our modern world.here are the topics of the course:Ch1: dataTypes of DataCollecting DataBiasExperimentsCategorical Data Analysis, %, Proportions, Binomial %Normal Quant. Data Analysis, Z-scores, Normal %, Empirical RuleNon-normal Quant. Data Analysis, Summary StatisticsCh2: Estimating Population ParametersStatistics and ParametersSampling Variability, Intro to Sampling DistributionsCentral Limit Theorem, Shape of Sampling DistributionsIntro to Confidence Intervals and Confidence Levels, Point Estimates, Margin of ErrorOne-Pop Mean & Proportion Confidence Intervals, Z & T score Critical Values, Standard Error, Assumptions, BootstrappingTwo-Population Mean & Proportion Confidence Intervals Matched Pair, Independent Groups, Formulas, BootstrappingChi-Squared Critical Values, One Population Variance & Standard Deviation Confidence Intervals (Optional Section)Ch3: Introduction to Hypothesis TestingNull and Alternative HypothesisSignificance, Test Statistics, Critical ValuesP-value, Significance Levels, and Sampling Variability (Random Chance)Writing ConclusionsType 1 and Type 2 ErrorsOne-Population Mean & Proportion Hypothesis Tests Ch4: Categorical and Quantitative Relationship TestsCateg/Quant Relationships, Two-pop Mean Hypothesis Test T-test Statistic, Randomized SimulationCateg/Quant Relationships, ANOVA, F-Test Statistic, Variance Between, Variance Within, Randomized SimulationProportion Relationships, Two-pop Proportion Hypothesis Test Z-test Statistic, Randomized SimulationProportion Relationships, Goodness of Fit Test, Expected Counts Observed Counts, Chi-Squared Test Statistic, Randomized SimulationCategorical Relationships, Contingency Tables, Marginal %, Joint % and Conditional %Categorical Relationships, Categorical Association Test, Expected Counts, Observed Counts, Chi-Squared Test StatisticQuantitative Relationships, Scatterplots, Correlation Coefficient, Coefficient of Determination, Regression Line, Slope, Y-intercept Standard Deviation of Residual ErrorsQuantitative Relationships, Correlations Hypothesis Test, Assumptions, T-test Statistic for Slope, Randomized Simulation, Residual Plot, Histogram of the Residuals