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.

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]