Elian heard that spinning a coin on a flat surface—rather than flipping it—made the probability of the coin landing showing "heads" something other than . To test this theory, he spun a nickel a series of times and observed that of the spins landed showing "heads." To see how likely a sample like this was to happen by random chance alone, Elian performed a simulation. He generated a sample of spins where each spin had a chance of showing "heads," and he recorded what proportion of spins in the sample showed "heads." He repeated this process for a total of samples. Here are the sample proportions from his samples: A dot plot for simulated sample proportions has a scale from 0.35 to 0.65 in increments of approximately 0.01. The distribution is roughly symmetrical between 0.35 and 0.63, with dots plotted as follows. 0.36, 1. 0.39, 1. 0.40, 1. 0.41, 3. 0.42, 6. 0.44, 2. 0.45, 7. 0.46, 13. 0.47, 12. 0.49, 9. 0.50, 10. 0.51, 11. 0.52, 12. 0.53, 9. 0.55, 8. 0.56, 9. 0.57, 1. 0.58, 3. 0.60, 3. 0.61, 2. 062, 0.2. Simulated sample proportions He wants to test vs. where is the true proportion of spins this coin would land showing "heads." Based on these simulated results, what is the approximate -value of the test? Note: The sample result was .