STAT
STAT 222 Module 8 QA.pdf

# The p value says that there is a 220 probability that

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The p-value says that there is a 2.20% probability that there is no association between height and hand span. Invalid: The p-value is computed assuming there is no association. It does not tell the chance of no association. The p-value says that there is a 2.20% probability that there is an association between height and hand span. Invalid, for the same reason as in (a) above. If there were no association between height and hand span, the probability of observing the association observed in the sample data of 10 students is 0.022. Invalid, but close: See the answer to part (d) below. If there were no association between height and hand span, the probability of observing the association observed in the sample data or an even stronger association in a sample of 10 students is 0.022. Valid: If there were no association between height and hand span, the p-value (0.022) is the probability of observing the association observed in the sample data or an even stronger association in a sample of 10 students. If there were an association between height and hand span, the probability of observing the association observed in the sample data or an even stronger association in a sample of 10 students is 0.022.

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Invalid, for the same reason as in part (a) above. Chapter 10.2 Exercise Question 02 A researcher wants to investigate whether there is a relationship between annual company profit (\$) and median annual salary paid by the company (\$). The researcher collects data on a random sample of companies and after analyzing the data finds the p-value to be 0.56. Which of the following is an appropriate conclusion based on this p-value? A. There is no relationship between annual company profit (\$) and median annual salary paid by the company (\$). B. There is a relationship between annual company profit (\$) and median annual salary paid by the company (\$), and the corresponding value of the correlation coefficient is ࠵? = 0.56 . C. There is not convincing evidence of a relationship between annual company profit (\$) and median annual salary paid by the company (\$). D. There is a 56% chance that there is no relationship between annual company profit (\$) and median annual salary paid by the company (\$). Chapter 10.2 Exercise Question 03 Two researchers want to investigate whether there is a relationship between annual company profit (\$) and median annual salary paid by the company (\$). Researcher Bart collects data on a random sample of 40 companies, and researcher Lisa collects data on a random sample of 140 companies. After analyzing their respective data sets, each finds a correlation coefficient of ࠵? = 0.601 . Who will have a smaller p-value? A. Bart B. Lisa C. Both will find the same p-value. D. More information is needed to answer this question. Explain the reasoning for your choice in part (a). With Lisa's larger sample we have more information and thus the strength of evidence is stronger.
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• Summer '18
• Null hypothesis, Statistical hypothesis testing, Correlation and dependence, Pearson product-moment correlation coefficient

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