Question

In: Statistics and Probability

. Business owners often rely on experts in search engine optimization to increase the number of...

. Business owners often rely on experts in search engine optimization to increase the number of people who visit the business website. A study was conducted of 7 comparable small businesses before and after implementing a plan for search engine optimization. The number of visitors per day for each business, based on the day before and after implementing the plan, is shown.

Business number

Number of daily visitors before optimization

Number of daily visitors after optimization

1

5389

5883

2

5061

6189

3

5468

5430

4

5579

6106

5

5733

5534

6

4812

5737

7

5834

5990

(a) Explain the requirements that the data must meet to conduct the hypothesis test described in (b).

(b) Specify the hypotheses for a t-test to see whether the mean number of visitors differs before and after search engine optimization.

(b) Conduct a hypothesis test with a = 0.05, estimating the t-statistic and the p-value.

(c) Report:

the level of significance,

            the type and value of the test statistic (including degrees of freedom if appropriate),

            the p-value (exact values if possible, or a range of possible values), and

            the implications for the null hypothesis.

Do the results indicate that search-engine optimization results in an immediate increase (next day) in the number of visitors to the website?

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