Information on a large packet of seeds indicates that thegermination rate is p0=92%. Some researchers claim that theproportion 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 thepacket will germinate?
(b) (3 points) Now a random sample containing 300 seeds with 290germinated is chosen to test this claim. Based on the sample,construct a 90% conï¬dence interval for the population proportion ofthe seeds germinated in one packet. Please interpret theinterval.
(c) (5 points) If some researchers want to conduct a large-scalestudy, hoping to estimate the proportion to within 1% with 98%conï¬dence, how many seeds must contain in the sample?
