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 Multiple Choice PInternet $$ -P_{ ext {store }}0 $$.

Question

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 Multiple Choice PInternet $$ -P_{	ext {store }}>0 $$.

UpStudy AI · Accepted Answer

Let $$ P_{\text{Internet}} $$ be the proportion of Internet sales and $$ P_{\text{store}} $$ be the proportion of store sales. The manager believes that the Internet sales are more than 10 percent higher than the store sales. This means the relationship is expressed as

$$
P_{\text{Internet}} > P_{\text{store}} + 0.10
$$

Subtracting $$ P_{\text{store}} $$ from both sides gives

$$
P_{\text{Internet}} - P_{\text{store}} > 0.10
$$

Thus, the alternative hypothesis should be stated as

$$
H_a: P_{\text{Internet}} - P_{\text{store}} > 0.10.
$$
The alternative hypothesis is $$ H_a: P_{\text{Internet}} - P_{\text{store}} > 0.10 $$.

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