Question

The mayor of a town believes that less than 42 % of the residents favor annexation of an adjoining bridge. Is there sufficient evidence at the 0.02 level to support the mayor's claim? State the null and alternative hypotheses for the above scenario.

Answer 1

The null and alternative hypotheses for testing the proportion of residents favoring annexation of the adjoining bridge are as follows: H0: The proportion is greater than or equal to 42%. H1: The proportion is less than 42%.

Step-by-step explanation:

The null and alternative hypotheses in this scenario can be stated as follows:

Null hypothesis (H0): The proportion of residents favoring annexation of the adjoining bridge is greater than or equal to 42%.

Alternative hypothesis (H1): The proportion of residents favoring annexation of the adjoining bridge is less than 42%.

To test these hypotheses, a hypothesis test needs to be conducted using appropriate statistical methods and data.