Information on a large packet of seeds indicates that the germination rate is p0=92%. Some researchers...

Information on a large packet of seeds indicates that the germination rate is p0=92%. Some researchers claim that the proportion of germination should be higher than that.

(a) (2 points) Based on the indication of the information, what’s the probability that more than 95% of the 300 seeds in the packet will germinate?
(b) (3 points) Now a random sample containing 300 seeds with 290 germinated is chosen to test this claim. Based on the sample, construct a 90% conﬁdence interval for the population proportion of the seeds germinated in one packet. Please interpret the interval.
(c) (5 points) If some researchers want to conduct a large-scale study, hoping to estimate the proportion to within 1% with 98% conﬁdence, how many seeds must contain in the sample?

Expert Solution

orchestra answered 1 year ago

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