L9 Hypothesis Testing.pptx

# L9 Hypothesis Testing.pptx - LECTURE 9 INTRODUCTION TO...

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LECTURE 9 INTRODUCTION TO HYPOTHESIS TESTING Chapter 9, Groebner 1
2 What is a Hypothesis? A hypothesis is a claim (assumption) about a population parameter: population mean population proportion Example: The mean monthly cell phone bill of this city is µ = \$40 Example: The proportion of adults in this city with cell phones is π = .68
3 The Null Hypothesis, H 0 States the assumption (numerical) to be tested Is always about a population parameter, not about a sample statistic
4 The Null Hypothesis, H 0 Begin with the assumption that the null hypothesis is true Similar to the notion of innocent until proven guilty Refers to the status quo Always contains “=” , “≤” or “ sign May or may not be rejected
5 The Alternative Hypothesis, H A Is the opposite of the null hypothesis Challenges the status quo Never contains the “=” , “≤” or “ sign May or may not be accepted Is generally the hypothesis that is believed (or needs to be supported) by the researcher – a research hypothesis
6 Formulating Hypotheses Example 1: Many university students work part time to pay for the cost of education. The registrar has claimed that the mean number of hours worked by undergraduate students is more than 20 per week. What is the appropriate hypothesis test?
7 Formulating Hypotheses Example 2 : The Chips N Snack company produces several snack and food products. The company uses an automatic filling machine to fill the snack with the desired weight of 20 ounces. A sample of snack is collected and weighted to determine whether the machine is operating correctly.

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• Fall '16
• Harpaljit Kaur
• Statistics, Null hypothesis, Statistical hypothesis testing, significance level

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