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The mayor of a town has proposed a plan for the construction of a new bridge. A political study took a sample of 1200 voters in the town and found that 56% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 53%. State the null and alternative hypotheses.

Respuesta :

JeanaShupp

Answer: [tex]H_0:p\leq0.53[/tex]

[tex]H_a:p>0.53[/tex]

Step-by-step explanation:

Claim :  A a political strategist wants to test the claim that the percentage of residents who favor construction is more than 53%.

Let 'p' be the percentage of residents who favor construction .

Claim : [tex]p> 0.53[/tex]

We know that the null hypothesis has equal sign.

Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

[tex]H_0:p\leq0.53[/tex]

And the alternative hypothesis must be :-

[tex]H_a:p>0.53[/tex]

Thus, the null hypothesis and the alternative hypothesis for this test :

[tex]H_0:p\leq0.53[/tex]

[tex]H_a:p>0.53[/tex]

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