The calculated p-value for a hypothesis test is 0.084.Solution .pdf

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The calculated p-value for a hypothesis test is 0.084. Solution When p value > .10 ? the observed difference is “not significant” When p value = .10 ? the observed difference is “marginally significant” When p value = .05 ? the observed difference is “significant” When p value = .01 ? the observed difference is “highly significant” Use of “significant” in this context means “the observed difference is not likely due to chance.” It does not mean of “important” or “meaningful.” in the given problem p=0.084 ==> p= .10 so the observed difference is “marginally significant”.

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the base of exponential solve 14^(14x+1)=5^x, but the bases are not equal. the eq. has solutions? Solution 14^(14x+1) = 5^x To solve, we will apply the logarithm to both sides. ==> log 14^(14x+1) = log 5^x Now we will use the logarithm properties to solve. We know that log a^b = b^log a ==> (14x+1)*log 14 = x *log 5 Now we will divide by log14*x ==> (14x+1)/x = log5/log14 ==> 14 + 1/x = log5/log14 ==> 1/x = log5/log14 - 14 = -13.39 ==> x = 1/-13.39 = -0.0746 ==> Then, the solution for the equation is x = -0.0746.

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