1. A pharmaceutical manufacturer has come up with a new drug intended to provide greater headache relief than the old formula. Of 250 patients treated with the previous medication, 130 reported "fast relief from headache pain." Of 200 individuals treated with the new
formula, 128 said they got "fast relief." At the 0.05 level, can we conclude that the new formula is better than the old? Using the appropriate statistical table, what is the approximate p-value for this test?
2. In tests of a speed-reading course, it is found that 10 subjects increased their reading speed by an average of 200 words per minute, with a standard deviation of 75 words. At the 0.10 level, does this sample information suggest that the course is really effective in improving reading speed? Using the appropriate statistical table, what is the approximate p-value for this test?