Hypothesis testing for proportions and difference of proportions

Question 1

what is the test statistic?

Answer 1

a z statistic

Question 2

steps

Answer 2

1. state H0 and Ha and define significance, a
2. summarise data using a test statistic (check distribution)
3. assuming H0 is true, find a p-value
4. decide if results are statistically significant based on p value and conclude

if p value is greater or equal to a, do not reject H0
if p value is less that a, reject

Question 3

comparing two proportions

Answer 3

the difference of two independent normal distributions is a new normal with mean equal to the difference between the new means and the variance, the sum of the variances

there is an appropriate test statistic and CI interval for this