The company offers two types of sales: 1. Internet sales; 2. Store sales. The marketing research manager believes that the Internet sales are more than 10% higher than store sales. The null hypothesis would be:

A. Pinternet–Pstore >.10
B. Pinternet–Pstore <.10
C. Pinternet–Pstore less than or equal to .10
D. Pinternet–Pstore greater than or equal to.10
E. Pinternet–Pstore less than or equal to 0

To determine the null hypothesis, we need to consider the statement made by the marketing research manager: "The Internet sales are more than 10% higher than store sales."

In statistical hypothesis testing, the null hypothesis (H0) is the statement that assumes there is no significant difference or relationship between the variables being tested. In this case, the null hypothesis would assume that there is no difference or relationship between Internet sales and store sales.

To express the null hypothesis mathematically, we compare the proportions of Internet sales (Pinternet) and store sales (Pstore). Since the marketing research manager believes that Internet sales are more than 10% higher than store sales, the null hypothesis would state that the difference between Pinternet and Pstore is not greater than 10%.

The correct null hypothesis is option D: Pinternet–Pstore greater than or equal to 0.10. This hypothesis assumes that the difference between Pinternet and Pstore is not greater than 10%, meaning that Internet sales may be equal to or less than 10% higher than store sales.

To summarize, the correct null hypothesis is: D. Pinternet–Pstore greater than or equal to 0.10.