In a study testing the effects of placebos (sugar pills) on the headaches of 782 participants, when the participant believed that the pill was expensive, it was found that 218 participants had reduced pain after 30 minutes. We wish to test the claim that the actual proportion is different than 0.24 at the α=0.12 level of significance. What is the test statistic?

Answer in decimal form. Round to 4 decimal places as needed.