In: Statistics and Probability
In a poll by the National Center for Women and Aging at Brandeis University, 51% of the women over fifty said that aging is not as bad as they had expected (USA Today, November 19, 2002). In a recent sample of 400 women over fifty, 224 said that aging was not as bad as they expected. What critical value, at the 1% level of significance, of the test statistic Z will be used to test the hypothesis that, in 2005, the percentage of women over fifty who felt that aging is not as bad as they expected was greater than 51%. State your answer to 3 places of decimal.