Question

an online poll asked : do you believe the locc Ness monster exist? among 22,341 responses 68% were yes. use 0.01 significance level to test the claim that most people believe that the locc Ness monster exist. how is the conclusion affected by the fact that the internet users who saw the question could decide whether to respond. provide any TI 84 commands

Answer 1

Let p denotes the true proportion of people believe that the locc Ness monster exist.

To test against

Here

sample proportion

and sample size

The test statistic can be written as

which under H₀ follows a standard normal distribution.

We reject H₀ at 0.01 level of significance if

Now,

The value of the test statistic =

and critical value (To find critical value in TI 84, command invNorm(0.99, 0, 1) )

Since , so we reject H₀ at 0.01 level of significance and we can conclude that there is enough evidence to support the claim that the locc Ness monster exist.