Chapter 10: Problem 40
Step 2 of the five-step process for hypothesis testing is selecting an appropriate method. What is involved in completing this step?
Chapter 10: Problem 40
Step 2 of the five-step process for hypothesis testing is selecting an appropriate method. What is involved in completing this step?
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Get started for freeThe report "How Teens Use Media" (Nielsen, June 2009) says that \(83 \%\) of U.S. teens use text messaging. Suppose you plan to select a random sample of 400 students at the local high school and ask each one if he or she uses text messaging. You plan to use the resulting data to decide if there is evidence that the proportion of students at the high school who use text messaging differs from the national figure given in the Nielsen report. What hypotheses should you test?
The paper "College Students' Social Networking Experiences on Facebook" (Journal of Applied Developmental Psychology [2009]: 227-238) summarized a study in which 92 students at a private university were asked whether they used Facebook just to pass the time. Twenty-three responded yes to this question. The researchers were interested in estimating the proportion of students at this college who use Facebook just to pass the time.
A television station has been providing live coverage of a sensational criminal trial. The station's program director wants to know if more than half of potential viewers prefer a return to regular daytime programming. A survey of randomly selected viewers is conducted. With \(p\) representing the proportion of all viewers who prefer regular daytime programming, what hypotheses should the program director test?
The article "Irritated by Spam? Get Ready for Spit" (USA Today, November 10,2004 ) predicts that "spit," spam that is delivered via Internet phone lines and cell phones, will be a growing problem as more people turn to web- based phone services. In a poll of 5,500 cell phone users, \(20 \%\) indicated that they had received commercial messages and ads on their cell phones. These data were used to test \(H_{o}: p=0.13\) versus \(H_{a}: p>0.13\) where 0.13 was the proportion reported for the previous year. The null hypothesis was rejected. a. Based on the hypothesis test, what can you conclude about the proportion of cell phone users who received commercial messages and ads on their cell phones in the year the poll was conducted? b. Is it reasonable to say that the data provide strong support for the alternative hypothesis? c. Is it reasonable to say that the data provide strong evidence against the null hypothesis?
Give an example of a situation where you would want to select a small significance level.
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