A sample of 100 randomly selectedHobartianswere asked whether they preferred Cascade or Boags beer. The results were summarized in the following table:

	Cascade	Boags
Beer Preference	61	39

Test the null hypothesis that there is no beer preference x>0.5

This sample is large enough to be approximated by normal distribution (0.5x100=50>10). The mean of the distribution (under the null hypothesis) is 0.5.

Calculate the standard error:

The proportion of Hobartians in the sample who preferred Cascade is:

Calculate the p-value:

Is there enough evidence to reject the null hypothesis?

[Use a cut-off value of 0.05 to assess statistical significance.]

Express answer as yes/no