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The manager of an orchard expects about 75% of his apples to exceed the weight requirement...

The manager of an orchard expects about 75% of his apples to exceed the weight requirement for “Grade A” designation. At least how many apples must he sample to be 90% confident of estimating the true proportion within ±3% if … a. He wants to use the expected proportion as an estimate of the true proportion? b. He does not want to use the expected proportion and instead wants a more conservative estimate?

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