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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If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

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