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The manufacturer of a certain type of new phone battery claims that the average lifespan of the batteries is 500 charges; that is, the battery can be charged at least 500 times before failing. To investigate the claim, a consumer group will select a random sample of cell phones with the new battery and use the phones through 500 charges of the battery. The proportion of batteries that fail to last through 500 charges will be recorded. The results will be used to construct a 95 percent confidence interval tl estimate the proportion of all such batteries that fail to last through 500 charges

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