There are about 18 million households in the US that self-identify as Hispanic and have annual income below $100 000. Aaron and Sophie disagree about what fraction of this population has average family income below about $50 000. Aaron thinks about 50% of this population has average family income below about $50 000. Sophie thinks Aaron's fraction is just wrong. They agree to hypothesis test Aaron's estimate at level of significance 0.01, using the following annual income estimates from a random sample of fifteen such families: 18500,78500,41000,48500,33500,46000,14000,56000,28500,31000,21000,36000,46000,16000,36000 The sample pronortion is

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There are about 18 million households in the US that self-identify as Hispanic and have annual
income below $100 000. Aaron and Sophie disagree about what fraction of this population has
average family income below about $50 000. Aaron thinks about 50% of this population has
average family income below about $50 000. Sophie thinks Aaron's fraction is just wrong. They
agree to hypothesis test Aaron's estimate at level of significance 0.01, using the following annual
income estimates from a random sample of fifteen such families:
18500,78500,41000,48500,33500,46000,14000,56000,28500,31000,21000,36000,46000,16000,36000
The sample proportion is
The value of the test statistic is
The critical numbers are
and
The P-value is
Transcribed Image Text:There are about 18 million households in the US that self-identify as Hispanic and have annual income below $100 000. Aaron and Sophie disagree about what fraction of this population has average family income below about $50 000. Aaron thinks about 50% of this population has average family income below about $50 000. Sophie thinks Aaron's fraction is just wrong. They agree to hypothesis test Aaron's estimate at level of significance 0.01, using the following annual income estimates from a random sample of fifteen such families: 18500,78500,41000,48500,33500,46000,14000,56000,28500,31000,21000,36000,46000,16000,36000 The sample proportion is The value of the test statistic is The critical numbers are and The P-value is
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