# 0001 chance of getting the sample data or more

• Test Prep
• 29

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If the null is true and there is no correlation, then there was less than 0.0001 chance of getting the sample data or more extreme by random chance. Reject Ho If the problem meets the assumptions, then there would be significant evidence to reject the claim that there is no correlation between the length and age of the bear.

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Joe is right. The data fails the linear trend assumption and the homoscedasticity assumption. Hypothesis Test Review Sheet #2 Answers 1. a) Two population Proportion (percentages) Categorical data 0 1 2 1 2 : p : p (claim) A H p H p or 0 1 2 1 2 : p 0 : p 0 (claim) A H p H p Assumptions: Random, at least 10 success, at least 10 failures in both data sets. Z-test statistic : The number of standard errors that sample percent 1 is (above or below) the sample percent 2 b) Two population mean (not related or matched pairs) Quantitative data 2 Types: If two data sets not related = 2 sample t test If two data sets related = t test (paired) 0 1 2 1 2 : : (claim) A H H or 0 1 2 1 2 : 0 : 0 (claim) A H H or 0 : 0 : 0 (claim) d A d H H Assumptions: Random quantitative data sets, not related or matched pair, At least 30 or nearly normal in both data sets T-test statistic : The number of standard errors that sample mean 1 is (above or below) the sample mean 2
c) Chi squared goodness of fit test (checking the same percent in 3 or more groups) Categorical data H0: p1 = p2 = p3 = p4 Ha: at least one not = Assumptions: Random categorical data, All Expected values at least 5 Chi Squared Test stat sentence? The sum of the averages of the squares of the differences between the observed sample data and the expected values from the null hypothesis. d) Chi squared test for Independence Categorical Data Ho: The two categorical variables are independent (not related) Ha: The two categorical variables are dependent (related) Assumptions: Random categorical data, All Expected values at least 5 Chi Squared Test stat sentence? The sum of the averages of the squares of the differences between the observed sample data and the expected values from the null hypothesis. e) Chi squared test of Homogeneity Categorical Data Ho: The distributions for the groups are the same Ha: The distributions for the groups are different Assumptions: Random categorical data, All Expected values at least 5 Chi Squared Test stat sentence? The sum of the averages of the squares of the differences between the observed sample data and the expected values from the null hypothesis. f) ANOVA (Analysis of Variance)

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quantitative data 3 or more groups Ho: mu1 = mu2 = mu3 = mu4 = mu5 (claim) Ha: at least one not = Assumptions: Random quantitative data (same units between groups), Samples sizes at least 30 or nearly normal, Groups are not related, No groups has variance more than twice as large as any other groups variance F test statistic sentence? The ratio of the variance between the groups to the variance within the groups.
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• Fall '17
• Statistics, Statistical hypothesis testing, significant sample evidence

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