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Please answer the following questions. For Q1 this is a follow-up question from my original Answer. The Original Question goes to Q1, Q2 and Q3.
so your readers can draw their own conclusions.
Therefore, the null hypothesis is rejected when the p-value is lower than the level of significance. An observation if the null hypothesis is true: with high p-value- the data is likely with a true null; with low p-value-the data is unlikely with a true null.
Q3: According to Jim Frost at the Minitab Blog, “a p value is the probability of obtaining an effect at least as extreme as the one in your sample data, assuming the truth of the null hypothesis.” (Frost, 2014). In other words, a p value is the probability of finding the same or larger value if the null hypothesis is true. For a business statistician, the p-value aids in not only rejecting or accepting a null hypothesis, but also in knowing the strength of a rejection. If the p-value is smaller than the level of significance, the null hypothesis is rejected. The low p-value states the likelihood of getting that particular result assuming the null hypothesis is true. Thus, if the significance level is .05 and the p-value is .004, the null hypothesis is rejected with very strong evidence. This .004 p-value states that if the hypothesis is true, the probability of getting the particular outcome is .4%. This low probability unveils the low likelihood of the null hypothesis being true. Therefore, the p-value can help minimize the likelihood of committing a type I error.
Q4: A research firm tracks the average highway speed of 30 drivers driving home on Day 1. For the next 10 days, the drivers are given two cups of coffee 1 hour before the drive home. On the 10th day, the average highway speed is measured again. Does this study involve dependent or independent samples? You are interested in knowing if there is a statistical difference in driving speeds between Day 1 and Day 10. Which statistical test would be appropriate? Why?
P-value-StatisticsOriginal Question: What does the p-value tell the business statistician, especially in terms ofthe normal curve? If the p-value is smaller than the level of significance, what...