Random samples of 400 men and 600 women were asked whether they would like to have a flyover near their residence. 200 men and 325 women were in favour of the proposal. Test the hypothesis that proportions of men and women in favour of the proposal, are same against that they are not, at 5% level.

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Hypothesis Testing

In statistics, there are two ways to calculate the sample data. One is descriptive statistics and the other is inferential statistics.  In descriptive statistics, all of the information is defined through graphs and charts. In inferential statistics, it allows one to test the hypothesis and it is always used to predict the data. Inferential statistics has two main areas: estimating parameters and hypothesis testing. A hypothesis is a statement about the unknown parameter of the population which we want to verify from the information available from the sample. The premise may or may not be true. The estimation of the whole population would be a reasonable way of deciding if the statistical hypothesis is valid. There are two types of hypotheses. They are null hypothesis and alternative hypothesis.