Question

The marketing research company Comscore, Inc, reported that 65% of online searches in March 2010 used Google as the search engine. A network administrator wants to determine whether the % of searches that use Google is different in his company. He samples 400 searches and finds that 295 of them use Google. Can he conclude that the % of searches that use Google in his company differs from 65%? Use α = 0.05 level of significance.

Null Hyp: ______________ Alternative hypothesis: __________

Compute the value of the test-statistics.

P value: _________________

Use the Level of significance at 5%. State the conclusion.

Answer 1

Let p denotes the true proportion of searches that use Google in his company.

To test null hypothesis against alternative hypothesis

Here,

sample proportion

and sample size n = 400

The test statistic can be written as

which under H₀ follows a standard normal distribution.

We reject H₀ at 0.05 level of significance if P-value < 0.05

Now,

The value of the test statistic

P-value =

Since P-value < 0.05, so we reject H₀ at 0.05 level of significance and we can conclude that % of searches that use Google in his company significantly differs from 65%.