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bulbs use 75% less energy and last 10 times longer than incandescent bulbs. 3 A Wall Street Journal article, from June 2010, titled ‗Does the Internet Make You Smarter or Dumber?‘ posed the possibility that online activities turn us into shallow thinkers. Each of these examples could be stated as a pair of opposing claims or hypotheses. ( Business Statistics) Chapter 8 January 4, 2017 4 / 48 Introduction to Hypothesis Testing Null vs. Alternative Looking at the three examples above, state the null and alternative hypotheses. General form H0 vs. H1 1 H0 : The fees charged by banks for late credit card payments have remained the same or decreased (not increased) after the recession. H1 : The fees charged by banks for late credit card payments increased after the recession. 2 H0 : Fluorescent light bulbs do not use 75% less energy and last 10 times longer than incandescent bulbs. H1 : Fluorescent light bulbs use 75% less energy and last 10 times longer than incandescent bulbs. 3 H0 : Online activities do not turn us into shallow thinkers. H1 : Online activities turn us into shallow thinkers. ( Business Statistics) Chapter 8 January 4, 2017 5 / 48 Introduction to Hypothesis Testing Null vs. Alternative Hypothesis testing typically begins with some claim (or belief) about a particular parameter of a population. Our initial assumption is known as the null hypothesis, denoted H0 (‗H naught‘). This typically is hinting that nothing is happening, the status quo, no relationship, no difference, etc. The null hypothesis is believed to be true unless there is overwhelming evidence not to. We use the sample data to see if the alternative hypothesis, denoted Ha or H1 , is true. The alternative hypothesis states that something is going on: a difference, increase, decrease or relationship exists. Typically, H1 is what the researchers hope to show. ( Business Statistics) Chapter 8 January 4, 2017 6 / 48 Introduction to