Question 921401
The null hypothesis ALWAYS has an equality in it in some way. This is so you get a fixed point to base the distribution model off of. You need to know this or else you'd have infinitely many distributions to choose from.


The claim is "the true proportion of people living below poverty line is greater than 0.17". If p is the population proportion, then the claim stated algebraically is {{{p > 0.17}}}. 



The inequality {{{p > 0.17}}} does NOT have an "or equal to" part to it. Therefore, it is NOT part of the null hypothesis. This is the alternative hypothesis.


The null will be the remaining bit of the number line, ie the opposite of {{{p > 0.17}}}. The null is {{{p <= 0.17}}}. Do not forget the "or equal to" part.


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Answers:


Part i)


Null Hypothesis


In Symbols: 
H0: {{{p <= 0.17}}}


In Words: 
The true proportion of residents who are living below the poverty line is less than or equal to 0.17.


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Part ii)


Alternative Hypothesis


In Symbols: 
H1: {{{p > 0.17}}}


In Words: 
The true proportion of residents who are living below the poverty line is greater than 0.17.



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Let me know if that helps or not. Thanks.


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