Comparing Statistical Techniques Name Institutional affiliation Date Comparing statistical techniques Chapter nine Problem 1 The null hypothesis in the research is usually deemed to be true while the alternative hypothesis (experimental hypothesis) can be used to discredit the null hypothesis (Lutemann, 2008). Null hypothesis for the research is H0: The fraction of the American population that has seen a UFO is one person for every one thousand people. Alternative hypothesis is Ha: The proportion of the American population that has seen a UFO is less than one person for every one thousand people. Problem 2 H0: t≥18.4Ha: t<18.4H0: The average time spent by the tenth graders each week watching television stays to be greater or equal to 18.4 hours. Ha: The average time spent by the tenth graders each week watching television is less than 18.4 hours. Problem 3 The P-value obtained from the data must be less than 0.05 for the null hypothesis to be rejected (Bennett, Briggs, & Triola, 2014). Conversely, the null hypothesis is accepted in a situation where the P-value is more than 0.05 or when it is equal to 0.05. In this case, the P-value will be p=0.052=0.025<0.05Problem 4 Given a significance level of 5%, the P-value for each of the tails will be calculated as p=0.052=0.025Therefore, the right tail will have a P-value of 0.025. The required percentile for rejecting the null hypothesis is given as 1-0.025=0.975 or 97.5%Problem 5 Type I error is a situation where the researcher rejects the null hypothesis even though the null hypothesis is true. It means that the researcher accepts the alternative hypothesis when the results can

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