The Cardinals Pot contains millions of marbles of many colours. By tradition, the proportion of green marbles in the urn is meant to be 83%, but Kyler Murray suspects that certain frauds have been adding green marbles to the Pot and that the proportion of green marbles is in fact higher than 83%.

To test his belief, Kyler Murray draws a simple random sample of 8000 marbles from the Pot and finds that 6696 of them are green.

Use Kyler Murray's data to test his belief, at the 5% significance level, using the following steps.

• (1 pt) State the hypotheses for the test in terms of the appropriate parameter.
• (2 pts) Find the value of the test statistic for the test.
• (1 pt) Find the p-value of the test.
• (1 pt) State your decision.
• (1 pt) State your conclusion.