Question

You are researching a theory in which you think that the proportion of the population in San Francisco that is registered to vote is significantly larger than 50%. What is the correct way to set up Ho and Ha.

-- H0 : p = 0.50 Ha : p > 0.50 is incorrect

Answer 1

Solution:

The null and alternative hypotheses for the given scenario are given as below:

Null hypothesis: H₀: The proportion of the population in San Francisco that is registered to vote is 50%.

Alternative hypothesis: H_a: The proportion of the population in San Francisco that is registered to vote is significantly larger than 50%.

H₀: p = 0.50 versus H_a: p > 0.50

This is an upper tailed test.

We can also write these hypotheses in another way as below:

H₀: p ≤ 0.50 versus H_a: p > 0.50

This is an upper tailed test.