Question

The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900 voters in the town and found that 42% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 38%. State the null and alternative hypotheses.

Answer 1

H0 : p ≤ 0.38

H1 : p > 0.38

Explanation:

Given :

Claim : percentage of residents who favor annexation is above 38%

The claim in the context here is the alternative hypothesis ; since the null and the alternative are always the opposite, then the ;

The null hypothesis : percentage is less than equal to 38%

The alternative hypothesis ; percentage is greater than 38%

Null hypothesis H0 : p ≤ 0.38

Alternative hypothesis H1 : p > 0.38