IB AI SL Hypothesis

What does the Goodness of Fit test measure?

• It measures how well the observed data fits a particular distribution or model.

• It measures the standard deviation of the observed data

• It measures the correlation between two variables

• It measures the average of the observed data

Explain the concept of Spearman's rank correlation coefficient.

• Spearman's rank correlation coefficient is used to assess the normal distribution of data

• Spearman's rank correlation coefficient measures the linear relationship between two variables

• Spearman's rank correlation coefficient is a non-parametric measure of statistical dependence between two variables. It assesses how well the relationship between two variables can be described using a monotonic function.

• Spearman's rank correlation coefficient is only applicable to parametric data

When is a Two Sample t test used in hypothesis testing?

• A Two Sample t test is used in hypothesis testing when comparing the means of two independent groups.

• A Two Sample t test is used in hypothesis testing when comparing the proportions of two independent groups.

• A Two Sample t test is used in hypothesis testing when comparing the medians of two independent groups.

• A Two Sample t test is used in hypothesis testing when comparing the standard deviations of two independent groups.

What is the null hypothesis in the context of Chi Square test?

• The null hypothesis in the context of Chi Square test is that the variables are independent.

• The null hypothesis in the context of Chi Square test is that the variables are perfectly correlated.

• The null hypothesis in the context of Chi Square test is that there is no significant relationship between the categorical variables being studied.

• The null hypothesis in the context of Chi Square test is that the variables have a causal relationship.

How is the degree of freedom calculated in the Chi Square test?

• df = r * c

• df = r + c

• df = (r-1) * (c-1)

• df = (r-1) + (c-1)

What is the formula to calculate the test statistic in the Goodness of Fit test?

• (Σ(O-E)²/O)

• (Σ(O-E)²/E)

• (Σ(O-E)²)

• (Σ(O+E)²/E)

What is the alternative hypothesis in the context of Spearman's rank correlation coefficient?

• The correlation between the two variables is negative.

• There is a significant non-zero correlation between the two variables.

• The correlation between the two variables is zero.

• The correlation between the two variables is positive.

What are the assumptions for conducting a Two Sample t test?

• Both populations have different variance

• Both samples are dependent

• Both samples are independent, both populations follow a normal distribution, and both populations have the same variance.

• Both populations follow a uniform distribution

Explain the process of calculating the p-value in the Chi Square test.

• To calculate the p-value in the Chi Square test, simply divide the Chi Square statistic by the degrees of freedom

• The process of calculating the p-value in the Chi Square test involves finding the Chi Square statistic, determining the degrees of freedom, and then using a Chi Square distribution table or statistical software to find the p-value.

• The process of calculating the p-value in the Chi Square test involves finding the mean of the Chi Square statistic

• The p-value in the Chi Square test is calculated by taking the square root of the Chi Square statistic

What is the interpretation of the result when the p-value in the Goodness of Fit test is less than the significance level?

• The interpretation is that the observed data does not fit the expected distribution.

• The interpretation is that the observed data is inconclusive.

• The interpretation is that the observed data perfectly fits the expected distribution.

• The interpretation is that the observed data is not related to the expected distribution.