Test if coin is fair from 560 tails

Q: Test if coin is fair from 560 tails

This question evaluates understanding of hypothesis testing for proportions, including formulation of null and alternative hypotheses, computation of a test statistic and p-value, and interpretation of statistical significance in a coin-toss context.

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Question

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You flip a coin n = 1000 times and observe 560 tails.

At significance level α = 0.05, test whether the coin is fair.

Requirements:

State the null and alternative hypotheses.
Show the test statistic and its distribution (or approximation).
Compute the p-value (or rejection decision) with formulas.
State your conclusion in plain language.

Test if coin is fair from 560 tails

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Test if coin is fair from 560 tails

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