Assume that 49% of Americans believed that being a teacher was a prestigious occupation. A researcher wants to know whether this percentage has risen since then. She surveys a random sample of 40 Americans and finds that 24 of them felt that being a teacher was a prestigious occupation . Is there evidence that the population proportion of Americans who believe that being a teacher is a prestigious occupation is greater than 49%? Use a level of significance of 0.10.

Calculate the p-value for this hypothesis test. (Round your answer to 3 decimal places).