Question - Solving for n in a Binomial Test
Solution:
The image presents a question related to a binomial test:For a binomial test, if p = 1/2, p*n = 35 and q*n = 35, what is the value of n?Here, p is the probability of success on a single trial, and q is the probability of failure (q = 1 - p). Since we know p, we can find q:q = 1 - p = 1 - 1/2 = 1/2With the formulas p*n and q*n equaling 35, we have:p*n = 35q*n = 35Since both p and q are equal to 1/2, and both p*n and q*n are equal to 35, we can solve for n:(1/2)*n = 35n = 35 / (1/2)n = 35 * 2n = 70Thus, the value of n is 70.
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