A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The alternative hypothesis for this problem would be stated as:

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Answer:

[tex]H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10[/tex]

Step-by-step explanation:

We are given the following in the question:

Let [tex]P_{\text{Internet}}[/tex] be the proportion of the internet sales and [tex]P_{\text{Store}}[/tex] be the proportion of the store sale.

Hypothesis:

We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.

Thus, we can design the null and alternative hypothesis as:

[tex]H_{0}: P_{\text{Internet}}-P_{\text{Store}}\leq 0.10\\H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10[/tex]

Alternate Hypothesis:

The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.

Therefore the correct  answer is for the alternative hypothesis is,

[tex]H_1:P_{internet}-P_{store}\leq0.10[/tex]

Null Hypothesis:

A null hypothesis is a theory that assumes there is no statistical importance between the two variables in the hypothesis.

Let [tex]P_{internet}[/tex] be the proportion of the internet sales and [tex]P_{store}[/tex] be the proportion of the store sales.

The researchers claim is that ''the internet sales are more than 10% higher than store sales''.

The alternative hypothesis is,

[tex]H_1:P_{internet}-P_{store}\leq0.10[/tex]

The opposite of alternative hypothesis is,

[tex]H_0:P_{internet}-P_{store}\leq0.10[/tex]

It can be observed that the alternative hypothesis contains greater than a symbol.

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