I want to perform Hypothesis testing using one of the tests below:

Independent two-sample t-test Dependent (paired) two-sample t-test

Chi-square goodness of fit test

Chi-square test of association

This is the data set https://www.kaggle.com/mathchi/diabetes-data-set I have chosen.

Could you assist to check whether the test which I have chosen, null hypothesis and alternative hypothesis are correct?

Kindly correct me / drop me some suggestions for other related problem statement, null and alternative hypothesis too! If you have any other ideas :) Thanks!

Independent two-sample t-test (compare people who have diabetes vs people who don't have diabetes)

Problem statement: Do people who have diabetes have different mean BMI?

u1 - Mean BMI of people with NO diabetes

u2 - Mean BMI of people with diabetes

H_0: u1 = u2

H_A: u1 != u2

Chi-square test of association

Problem statement: Is there an association between "Pregnancies" (number of times being pregnant) and Diabetes?

H_0: There is no association in the population between number of times being pregnant and diabetes (*here I'm not sure whether I should write "in the population", since I'm dealing with a sample data set?)

H_A: There is an association in the population between number of times being pregnant and diabetes