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In: Statistics and Probability

A long-term study followed 128 women throughout their lifetime. Among the various data collected, one interesting...

A long-term study followed 128 women throughout their lifetime. Among the various data collected, one interesting result was that 32 of these women had suffered from a migraine at some point in their life.

a) Use the results of this study and a 95% confidence interval to estimate the percentage of women in the population that will suffer from a migraine in their lifetime. Use symbols and words to express your answer.

b) Use the results of this study to test the claim that the percentage (proportion) of women in the population that will suffer from a migraine is less than 33% in their lifetime. Use 0.05 significance level. Use symbols and words to express your answer.

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