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Hypothesis Test: Independence

Hypothesis Test: Independence . The table shows a random sample of 100 hikers and the area of hiking preferred. Are hiking area preference and gender independent? Hiking Preference Area . Hypothesis Test: Independence . H o : Gender and preferred hiking area are independent.

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Hypothesis Test: Independence

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  1. Hypothesis Test: Independence The table shows a random sample of 100 hikers and the area of hiking preferred. Are hiking area preference and gender independent? Hiking Preference Area

  2. Hypothesis Test: Independence Ho: Gender and preferred hiking area are independent. Ha: Gender and preferred hiking area are not independent.

  3. Hypothesis Test: Independence • The table contains the observed (O) frequencies. • If the null hypothesis is true, the expected percentages (E) are calculated by the formula • (row_total)(column_total) / total_surveyed • A Test of Independence is right-tailed. • The degrees of freedom (df) • = (# rows – 1)(# columns – 1) = (2 – 1)(3 – 1) = 2

  4. Hypothesis Test: Independence Distribution for the Test: Chi-Square Mean of the distribution = number of dfs = 2

  5. Hypothesis Test: Independence Test statistic: 1.4679 Measures how far the observed values are from the expected values. p-value: 0.4800

  6. Hypothesis Test: Independence Decision: Assume α = 0.05 (α < p-value) DO NOT REJECT Ho. Conclusion: We conclude that gender and hiking preference are independent.

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