According to Einstein's theory of relativity, light should bend when it passes through a gravitational field. This was first tested experimentally in 1919 when photographs were taken of stars near the sun during a total eclipse and again when the sun had moved to another part of the sky. These eclipse pictures should show the stars displaced outward from the position of the sun. The direction, in the first of 2 coordinate axes, predicted by the theory was matched by the observed direction for 6 out of 7 stars. Record + for a match and - for a mismatch. Guessing would give probability \(\frac{1}{2}\) of a match. Use the sign test with level 0.063 to support the claim that the theory holds with respect to matching the direction of displacement.