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  • https://stats.libretexts.org/Bookshelves/Applied_Statistics/Book%3A_Quantitative_Research_Methods_for_Political_Science_Public_Policy_and_Public_Administration_(Jenkins-Smith_et_al.)/05%3A_Interference/5.03%3A_Inferences_to_the_Population_from_the_Sample
    At first, it seems that her null hypothesis is wrong (88%>85%)(88%>85%), but since we are using a sample, it is possible that the true population value is less than 85%. Based on her sample, how likel...At first, it seems that her null hypothesis is wrong (88%>85%)(88%>85%), but since we are using a sample, it is possible that the true population value is less than 85%. Based on her sample, how likely is it that the true population value is less than 85%? If the likelihood is small (and remember there will always be some chance), then we say our null hypothesis is wrong, i.e., we reject our null hypothesis, but if the likelihood is reasonable we accept our null hypothesis.

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