To test whether radio signals from deep space contain a message, an interval of time could be subdivided into a number of very short intervals and it could then be determined whether the signal strength exceeded a certain level (background noise) in each short interval. Suppose that the following is part of such a record, where \(H\) denotes a high signal strength and \(L\) denotes that the signal strength does not exceed a given noise level.

Test this sequence for randomness (using the 0.05 level of significance) and ascertain whether it is reasonable to assume that the signal contains a message.

Transcribed Image Text:

LLHLHLHLHHHLHHH LHHHLHLHLH LLLL