. You and a friend are about to visit the aviary at the local zoo for the first time. A trustworthy zookeeper says the aviary holds about 3,000 birds. Your friend read somewhere that 10% of those birds are cardinals, but he thinks there are really more cardinals than that. You're both great at identifying cardinals so you decide to test this claim with a hypothesis test on the true proportion p of cardinals in the aviary. You walk around the aviary together and get a simple random sample by spotting 250 birds. Of these, 35 were cardinals and 215 were not cardinals. The p-value is 0.0175. Which of the following is false?

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4. You and a friend are about to visit the aviary at the local zoo for the first time. A trustworthy zookeeper says the aviary
holds about 3,000 birds. Your friend read somewhere that 10% of those birds are cardinals, but he thinks there are really
more cardinals than that. You're both great at identifying cardinals so you decide to test this claim with a hypothesis test
on the true proportion p of cardinals in the aviary. You walk around the aviary together and get a simple random sample
by spotting 250 birds. Of these, 35 were cardinals and 215 were not cardinals. The p-value is 0.0175. Which of the
following is false?
If in fact 10% of the birds in the aviary are cardinals, the probability of obtaining a random sample of 250 birds
where exactly 14% are cardinals is 0.0175.
The success-failure condition is met.
p = 0.14
Ho:p= 0.10
Transcribed Image Text:4. You and a friend are about to visit the aviary at the local zoo for the first time. A trustworthy zookeeper says the aviary holds about 3,000 birds. Your friend read somewhere that 10% of those birds are cardinals, but he thinks there are really more cardinals than that. You're both great at identifying cardinals so you decide to test this claim with a hypothesis test on the true proportion p of cardinals in the aviary. You walk around the aviary together and get a simple random sample by spotting 250 birds. Of these, 35 were cardinals and 215 were not cardinals. The p-value is 0.0175. Which of the following is false? If in fact 10% of the birds in the aviary are cardinals, the probability of obtaining a random sample of 250 birds where exactly 14% are cardinals is 0.0175. The success-failure condition is met. p = 0.14 Ho:p= 0.10
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