An online poll asked the following question: "Do you believe that Bigfoot exists?" Among the n = 1,523 people surveyed, x = 798 responded "yes". Using an a = 0.01 level of significance, test the claim that most people believe Bigfoot exists by answer the following questions. 1. The null hypothesis is that exactly 50% of the population believes that Bigfoot exists. Họ: p = 0.5 There are three options for the correct alternative hypothesis. Circle the correct one. H: p < 0.5 H: p + 0.5 Hạ: p>0.5 2. Compute the sample proportion p using the following formula. Round your answer to three decimal places as necessary. n= 15a3 X=798 P::0.52396580 %3D IS33 - 0.52396586 ( P= 0.524 3. Compute the test statistic z by using the following formula. Note that q = 1-p. Round your answer to three decimal places as necessary. 0.524 - 0.5 O.S (1-0.5 1523 6.024 0.0 1281209 1,873 Z=1.873 4. Compute the P-value for the above test statistic, Is this value more or less than a = 0.01? 5. Based on your above work, should we reject the null hypothesis or should we fail to reject the null hypothesis?

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The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.