Alessandra designed an experiment where subjects tasted water from four different cups and attempted to identify which cup contained bottled water. Each subject was given three cups that contained regular tap water and one cup that contained bottled water (the order was randomized). She wanted to test if the subjects could do better than simply guessing when identifying the bottled water.Her hypotheses were H0: p=0.25H vs.H a :p>0.25H,(where ppp is the true likelihood of these subjects identifying the bottled water).The experiment showed that 20 of the 60 subjects correctly identified the bottle water. Alessandra calculated that the statistic p=20, divided by, 60, 0.3 had an associated P-value of approximately 0.0680.What conclusion should be made using a significance level of α=0.05?A) Fail to reject H0B) Reject H0, and accept HaC) Accept H0​

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Answer:

3434

Step-by-step explanation:

The conclusion that should be made on the question using a significance level of α=0.05 is; Option A; Fail to reject H₀

We are given the hypotheses;

Null Hypothesis; H₀; p = 0.25

Alternative hypothesis; Hₐ; p > 0.25

p^ = 0.3

p-value = 0.068

Now, we are told that the significance level is α = 0.05

      Now, the law in hypotheses testing is that when the p-value is less tan or equal to the significance level, we will reject the null hypothesis but when the p-value is greater than the significance value, we fail to reject the null hypothesis(H₀)

Now, in our question the p-value of 0.068 is greater than the significance level of 0.05 and thus we will fail to reject the null hypothesis.

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