TheWorld Values Survey12 asked, “Indicate the importance in your life of religion.” Of the people sampled in the Netherlands, Stata reports the following output for the proportion who answered, “very important” or “rather important” (instead of “not very important” or “not at all important”).

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One-sample test of proportion:

Number of obs = 1902 Variable | Mean Std. Err.

religion | .25 .0099288 p = proportion(religion)

z = 21.8060 Ho: p = 0.5 Ha: p < 0.5 Pr(Z < z) = 0.0000 Ha: p != 0.5 Pr(|Z| > |z|) = 0.0000 Ha: p > 0.5 Pr(Z > z) = 1.0000

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(a) Explain how to interpret all results shown.

(b) By contrast, the results for the United States had a sample proportion of 0.68 who answered “very important”

or “rather important.” Here are the test results:

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Ha: p < 0.5 Pr(Z < z) = 1.0000 Ha: p != 0.5 Pr(|Z| > |z|) = 0.0000 Ha: p > 0.5 Pr(Z > z) = 0.0000

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In non technical terms, explain the difference between what you conclude for the Netherlands and for the United States from the one-sided test results.