1.A poll by the National Center for Women and Aging at Brandeis University, 51% of the women over 50 said that aging is not as bad as they had expected (USA Today, November 19, 2002). In a recent sample of 400 women over 50, 224 said that aging was not as bad as they expected. What CRITICAL VALUE of the appropriate test statistic will be used to test the hypothesis that, in 2005, the percentage of women over 50 who feel that aging is not as bad as they expected is GREATER THAN51%. Use of 1%. State your answer to 3 places of decimal.

2. A poll by the National Center for Women and Aging at Brandeis University, 51% of the women over 50 said that aging is not as bad as they had expected (USA Today, November 19, 2002). In a recent sample of 400 women over 50, 224 said that aging was not as bad as they expected. What CALCULATED VALUE of the appropriate test statistic will be used to test the hypothesis that, in 2005, the percentage of women over 50 who feel that aging is not as bad as they expected is GREATER THAN51%. State your answer to 3 places of decimal.

3.A pump manufacturer claims that a higher proportion of her Pumpo brand pumps will be operating without repairs in 5 years than those of a competitor. Records were examined of 100 pumps of each manufacturer put into service 5 years ago. 67 of the Pumpo pumps and 62 of the competitors pumps were found still working without repairs. WhatCRITICAL VALUEwould be used to test, at the 5% level of significance, that the proportion of Pumpo pumps operating without repairs is higher than those of the competitor? State your answer to 3 places of decimal. FIND YOUR DIFFERENCE BY TAKING THE OUMPO VALUE MINUS THE COMPETITOR VALUE. (Note in real life, and on the exam, you can find your difference either way -- if you subtract one way you will be doing a right-tailed test and if you subtract the other way you will be doing a left-tailed test -- but I am asking you take the Pumpo value minus the competitor value.)

4.A pump manufacturer claims that a higher proportion of her Pumpo brand pumps will be operating without repairs in 5 years than those of a competitor. Records were examined of 100 pumps of each manufacturer put into service 5 years ago. 67 of the Pumpo pumps and 62 of the competitors pumps were found still working without repairs. What CALCULATED VALUE would be used to test that the proportion of Pumpo pumps operating without repairs is higher than those of the competitor? Express your answer to 3 places of decimal. FIND YOUR DIFFERENCE BY TAKING THE PUMPO VALUE MINUS THE COMPETITOR VALUE.

5.The smaller the observed (calculated) value of chi-squared in a goodness of fit test, the ____________ likely the hypothesized model is a good fit to the data. Select one. a) more b) less