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Statistics - BTM8104-Wk7
Question posted by  Hypothesis Testing, T-Tests, Cross-Tabulations, and Chi-Square

This section examines hypothesis testing, and calculating and interpreting basic parametric and non-parametric tests. You will learn the difference between a null and alternative hypothesis, and how to set up the hypothesis (the specific symbolic components that are often used in testing hypotheses). You will explore the difference between one- and two-tailed testing, and also determine the importance of the P-value for setting up proper hypothesis testing. Type I and Type II errors should be understood in the context of hypothesis testing, and how increasing or decreasing the level of rejection can lead to greater levels of certain types of errors.

The second part of this section is an introduction to cross-tabulations, Chi-Square, t-tests, and One-Way ANOVA parametric and nonparametric measures. Importance is placed on calculating these tests through the use of statistical software, as well as analyzing and interpreting their results. In addition to manipulating computations, the conceptual basis of each test will be explored.

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Statistics - BTM8104-Wk7
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Solution posted by  Chapter Nine   Problem 1)       A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand.  State the null hypothesis and the alternative hypothesis for a test of significance.       Given that the proportion of Americans that have seen UFO is less than 1 in every one thousand:   p = (1/1000) = 0.001   Null hypothesis Ho: p = 0.001   Alternative hypothesis Ha: p < 0.001       Problem 2)       At one school, the average amount of time that tenth-graders spend watching television each week is 18.4 hours.  The principal introduces a campaign to encourage the students to watch less television.  One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased.  Formulate the null and alternative hypotheses for the study described.       Given that the average amount of time 10th graders spend watching television is 18.4 hours:   Null hypothesis Ho µ = 18.4 hours   Alternative hypothesis Ha <18.4 hours       Problem 3)       A two-tailed test is conducted at the 5% significance level.  What is the P-value required to reject the null hypothesis?       To reject the null hypothesis the P-value should be <= 0.05       Problem 4)       A two-tailed test is conducted at the 5% significance level.  What is the right tail percentile required to reject the null hypothesis?       To reject the right tail percentile the null hypothesis should be => 97.5%       Problem 5)                           ...
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