Write the claim as a mathematical statement. State the null and alternative hypotheses, and identify which represents the claim.
1. A consumer analyst reports that the mean life of a certain type of automobile battery is not 74 months.
2. An electronics manufacturer publishes that the variance of the life of its home theater systems is less than or equal to 2.7.
3. A realtor publicizes that the proportion of homeowners who feel their house is too small for their family is more than 24%.
a. Identify the verbal claim and write it as a mathematical statement.
b. Write the complement of the claim.
c. Identify the null and alternative hypotheses and determine which one represents the claim.