Suppose new legislation on taxation reform has been proposed in Australia and that the Prime Minister recently gave a televised speech on the issue. Prior to the speech, 38% of Australians supported the new legislation. After the speech, out of a sample of 8000 people, 3130 supported the new legislation.
a) Has the Prime Minister's speech increased support for the new legislation? Test with a significance level of 1%. Show all steps, including clearly stating the hypotheses, any assumptions, calculations, conclusion and reasoning.