## Related questions with answers

RELEVANT Magazine keeps records of traffic (like the number of weekly new visitors) to its Web site from various social networks such as Facebook and Twitter (Butcher 2011). In previous examples we constructed time-series plots of the number of weekly new visitors for the first nine weeks of 2011 from both Facebook and Twitter. Test for randomness using the runs test. The data is stored in the data file RELEVANT Magazine.

Solution

VerifiedTo test the given series for randomness, we first need to state the hypotheses:

- $H_0$: The series is random.
- $H_1$: The series is not random.

Since this is a question of whether it is or isn't random, then the test is **two-tailed**. This means that for the $H_0$ to be rejected, the value read from the table should be:

- doubled if it is less than 0.5. On the other hand; and
- $2(1-\alpha)$ if the value from the table is greater than 0.5.

**Facebook New Visitors**

We shall start with the data for Facebook. We are going to find the median. Since we have 9 observations, we will be locating the 5th observation (take note that we have to arrange the values in ascending order first). We will now have:

$median=20572.$

## Create an account to view solutions

## Create an account to view solutions

## More related questions

1/4

1/7