Question

According to a newspaper article: More than 75% of Canadians believed the quality of the environment declined over the last decade. This statement was based on a poll in which 780 of the 1000 Canadians who responded agreed that the quality of the environment had declined over the last decade. Is there sufficient evidence to conclude that more than 75% of the population believed that the quality of the environment declined over the last decade? Calculate the test statistic.

	2.50
	2.20
	2.40
	2.30

Answer 1

Here claim is that p>0.75

So hypothesis is vs

Now

Hence test statistics is

So P value is

As P value is less than alpha=0.05, we reject the null hypothesis

Hence there is sufficient evidence to support the claim that p>0.75

For options as test statistics is 2.20, correct answer here is 2.20