D | Question 6 4.5 pts os Let Y be a random variable. Consider the following hyp
ID: 1162840 • Letter: D
Question
D | Question 6 4.5 pts os Let Y be a random variable. Consider the following hypothesis test: H1: E(Y) not equals to u Which of the following statements are NOT true about the null and alternative hypothesis? (Check all that apply Hypothesis testing entails using data to provide sufficient evidence against both the null and alternative hypothesis. G Hypothesis testing entails using data to provide sufficient evidence in favor of both the null and alternative hypothesis. The null hypothesis is that the population mean E(Y) takes on a specific value whereas the alternative hypothesis specifies what is true if the null hypothesis is not Hypothesis testing entails using data to provide sufficient evidence against the null hypothesis and in favor of the alternative hypothesis.Explanation / Answer
Solution:
Hypothesis testing is about testing a data, whether a null hypothesis is rejected or not, as per the significance level set by the one who tests it; whether we have enough evidence to reject the null (thus, whether the test or model is enough significant). Even if the null hypothesis is not rejected, it doesn't mean that the exact value on which we ran the test holds true. For example: if in this model we are testing null hypothesis E(Y) = u, and say we don't find enough evidence to reject it, it doesn't imply the true value of E(Y) = u, it just means that E(Y) value will lie in a certain confidence interval around u, the interval which is estimated as per our significance level or in other words, if significance level is say 5%, it means that there's confidence that 95% of times you find E(Y) to be u, thus, not giving you enough evidence to reject the null.
GIven all this, we run a hypothesis test, only to find enough evidence against null hypothesis, if the value as estimated is statistically enough significant. So, if we find enough evidence to reject the null, that automatically means that we have enough evidence to not reject the alternative hypothesis. Again as seen above, null hypothesis is not about population parameter taking on a specific value, it's about taking a specific value with certain confidence, which gives enough evidence to find the parametric value about that specific value.
Thus, correct answer is D. only.
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