nework Chapter 8 Question 17, 8.2.29-T HW Score: $57.86 \%, 16.2$ of 28 points Part 2 of 5 Points: 0.2 of 1 Save the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. \[ \begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p>0.5 \end{array} \] B. \[ \begin{array}{l} H_{0}: p>0.5 \\ H_{1}: p=0.5 \end{array} \] c. \[ \begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p \neq 0.5 \end{array} \] D. \[ \begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p<0.5 \end{array} \] Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) 8

Step 1 ：The question is asking to identify the null and alternative hypotheses for a test regarding the belief in the existence of the Loch Ness monster. The null hypothesis (H0) is usually a statement of no effect or no difference. The alternative hypothesis (H1) is what you might believe to be true or hope to prove true.

Step 2 ：In this case, the null hypothesis could be that the proportion of internet users who believe in the Loch Ness monster is 0.5 (i.e., 50% of internet users believe in the Loch Ness monster), and the alternative hypothesis could be that the proportion is not 0.5 (i.e., the proportion of internet users who believe in the Loch Ness monster is not 50%).

Step 3 ：The question also asks for the test statistic for this hypothesis test. The test statistic is a measure of how far our data is from what we would expect if the null hypothesis were true. However, without any data or further information, we cannot calculate the test statistic.

Step 4 ：Final Answer: The correct answer for the null and alternative hypotheses is: \[\begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p \neq 0.5 \end{array}\] The test statistic cannot be determined without further information.