Question

A website developer wished to analyze the clicks per day on their newly updated website. Let the mean number of clicks per day be μ. If the website developer wants to know if the number of clicks per day is different than 200 clicks a day, on average, what are the null and alternative hypotheses?

Answer 1

Answer: Null Hypothesis
`H_0:\mu=200`

Alternate Hypothesis
`H_a:\mu\\eq200`

Explanation:

Let
`\mu` be the mean number of clicks per day.

Given, a website developer wished to analyze the clicks per day on their newly updated website.

The website developer wants to know if the number of clicks per day is different than 200 clicks a day, on average.

i.e. he wants to check either
`\mu=200\text{ or }\mu\\eq 200`

Since a null hypothesis is a hypothesis believes that there is no difference between the two variables whereas an alternative hypothesis believes that there is a statistically significant difference between two variables.

So, Null Hypothesis
`H_0:\mu=200`

Alternate Hypothesis
`H_a:\mu\\eq200`

Hence, the required null and alternative hypotheses.

Null Hypothesis
`H_0:\mu=200`

Alternate Hypothesis
`H_a:\mu\\eq200`

Answer 2

Null Hypothesis,
`H_0` :
`\mu` = 200 clicks a day

Alternate Hypothesis,
`H_A` :
`\mu\\eq` 200 clicks a day

Explanation:

We are given that a website developer wished to analyze the clicks per day on their newly updated website.

The website developer wants to know if the number of clicks per day is different than 200 clicks a day, on average.

Let
`\mu` = mean number of clicks per day.

So, Null Hypothesis,
`H_0` :
`\mu` = 200 clicks a day

Alternate Hypothesis,
`H_A` :
`\mu\\eq` 200 clicks a day

Here, the null hypothesis states that the mean number of clicks per day is 200 clicks a day.

On the other hand, the alternate hypothesis states that the mean number of clicks per day is different than 200 clicks a day.

Hence, this is the correct null and alternative hypotheses.