A Fund Manager Wants to Know If It Is Equally

Multiple Choice

A fund manager wants to know if it is equally likely that the Dow Jones Industrial Average will go up each day of the week. For each day of the week, the fund manager observes the following number of days when the Dow Jones Industrial Average goes up. Using the p-value approach and α = 0.05, the decision and conclusion are ________.

A) do not reject the null hypothesis; all of the proportions are the same
B) do not reject the null hypothesis; we cannot conclude that not all of the proportions are the same
C) reject the null hypothesis; not all of the proportions are the same
D) reject the null hypothesis; all of the proportions are not the same