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A study claims that over 50​% of those who suffer from osteoarthritis receive measurable relief from...

A study claims that over 50​% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel. To test this​ claim, the mussel extract is to be given to a group of 8 osteoarthritic patients. If 4 or more of the patients receive​ relief, we shall not reject the null hypothesis that p=0.5​; ​otherwise, we conclude that p<0.5.

​(a) Evaluate α​,assuming that p=0.5.

​(b) Evaluate β for the alternative p=0.4.

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