Question

for the following conjecture, state the null and alternative hypotheses. the average number of monthly visits/sessions on the internet by a person at home has increased from 36 in 2009. the null hypothesis is ( h_0 ):. the alternative hypothesis is ( h_1 ):.

Explanation:

• Null Hypothesis (\( H_0 \)): It represents the status - quo or no - change assumption. Here, it assumes that the average number of monthly visits/sessions (\(\mu\)) is equal to the 2009 value of 36.
• Alternative Hypothesis (\( H_1 \)): It contradicts the null hypothesis. The conjecture is that the average has “increased” from 36. In hypothesis testing for means (\(\mu\)), an increase is represented by the “greater than” (\(>\)) symbol. So, \( H_1 \) states that \(\mu>36\).

Answer:

The null hypothesis is \( H_0: \mu = 36 \).
The alternative hypothesis is \( H_1: \mu > 36 \).