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A random-number generator is supposed to produce a sequence of 0s and 1s with each value...

A random-number generator is supposed to produce a sequence of 0s and 1s with each value being equally likely to be a 0 or a 1and with all values being independent. In an examination of the random-number generator, a sequence of 50,000 values is obtained of which 25,264 are 0s.

Formulate a set of hypotheses to test whether there is any evidence that the random-number generator is producing 0s with probability 0.5. Please find the test statistic.

2.354

2.365

2.356

2.361

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