In a Gallup poll of 500 people in country of Starland in 2020, 45% answered “yes” to the question, “Would you be afraid to walk alone at night within a mile right around here?” (a) Test the null hypothesis that 50% of the Starland’s people answered “yes”. Use the p-value approach with α = 5%. (b) Construct a 95% confidence interval to test the hypothesis and conclude.

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In a Gallup poll of 500 people in country of Starland in 2020, 45% answered “yes” to the question,
“Would you be afraid to walk alone at night within a mile right around here?”
(a) Test the null hypothesis that 50% of the Starland’s people answered “yes”. Use the p-value
approach with α = 5%.

(b) Construct a 95% confidence interval to test the hypothesis and conclude.

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