The situation at the time of writing may he summed up as follows. In the first place the problem of obtaining an adequate beam intensity has been solved and, although a more intense beam 'would be useful in reducing the counting times, it is believed that the limitations on intensity which exist at present are mainly those inherent in the use of radio-active sources as opposed to electron guns. An improvement of a factor of two may be expected from increasing the source strength and from more careful setting up of the field configurations. The problem of the detection of asymmetries has been brought to the point where there is some evidence that a genuine spin-dependent asymmetry has been observed and where further progress depends mainly on reducing the statistical errors by counting for long periods. It is believed that the instrumental asymmetries can be eliminated by the use of a suitable comparison foil. Alternatively, if it is confirmed that e(k) is slowly varying for k > 300, the observations could be carried out only for k > 300 and a periodic curve fitted by least squares computation as indicated in the last Section. Substantial improvement could be expected in signal to-noise ratio if the scintillation counters were replaced by solid-state detectors, such as lithium ion drift detectors, which would give much, better energy resolution and lower intrinsic background. Finally, a more thorough, examination of the technical details of setting up the field configurations needs to be undertaken so that the distribution of intensity in the beam can be controlled at all orbit-numbers. Given all these improvements, there appears to be no fundamental reason why the experiment should not achieve the 1-2% accuracy for which it was. originally designed.