is the observed difference in sample proportions significant at the 5% level? Support your answer with relevant calculations. (ii) calculate a 90% confidence interval for the difference in the proportions of 25-year-olds having some grey hair among Australian males and Australian females.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
“It’s a draw, according to two Australian researchers. By age 25, up to 29% of all men and up to 34% of all women have some grey hair, but this difference is so small that it’s considered insignificant.”
Assuming the data used in this research comprised 500 men and 500 women selected at random from Australians aged 25:
(i) is the observed difference in sample proportions significant at the 5% level? Support your answer with relevant calculations.
(ii) calculate a 90% confidence interval for the difference in the proportions of 25-year-olds having some grey hair among Australian males and Australian females.
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