It is believed that more than 60% of voters from a certain region in Canada favor the free trade agreement. A recent poll indicated that out of 400 randomly selected individuals, 250 favored the free trade agreement. The null and alternative hypothesis would be:

Answer 1

To formulate the null and alternative hypotheses for the given situation, we begin by defining the population proportion of voters who favor the free trade agreement:

• Let \( p \) represent the true proportion of voters in the region who favor the free trade agreement.

Null and Alternative Hypotheses:

1. Null Hypothesis (H0): The null hypothesis states that the true proportion of voters who favor the agreement is equal to or less than 60%. This can be written as: \[ H_0: p \leq 0.60 \]

2. Alternative Hypothesis (H1): The alternative hypothesis posits that the true proportion of voters who favor the agreement is greater than 60%. This can be expressed as: \[ H_1: p > 0.60 \]

Conclusion:

Thus, the null and alternative hypotheses are:

• \( H_0: p \leq 0.60 \)
• \( H_1: p > 0.60 \)

This set of hypotheses is appropriate as we are testing whether the proportion of supporters is indeed more than 60% based on the data from the poll.