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An online poll asked: "Do you believe the Loch Ness monster exists?" Among 21,111 responses,
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is (Round to two decimal places as needed.)
Final Answer: The test statistic for this hypothesis test is
Step 1 :State the null hypothesis and the alternative hypothesis. The null hypothesis is that the proportion of people who believe in the Loch Ness monster is 0.5 (or 50%). The alternative hypothesis is that the proportion is greater than 0.5.
Step 2 :The test statistic for a hypothesis test for a proportion is a z-score, which is calculated as
Step 3 :In this case,
Step 4 :Substitute the values into the z-score formula to get
Step 5 :Solve the equation to get the z-score.
Step 6 :Final Answer: The test statistic for this hypothesis test is