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In 2002, a reproductive clinic reported 46 live births to 165 women under the age of 38, but only 6 live births for 94 clients aged 38 and older. Is there evidence of a difference in the effectiveness of the clinic's methods for older women? Complete parts a through c. Use a = 0.10. Click here to view page 1 of the table, Click here to view page 2 of the table. a) Was this an experiment? Explain. This an experiment because each individual in the study was placed in a group based on b) Test an appropriate hypothesis and state your conclusion in context. Write the hypotheses. Ho: The proportion of live births for women under the age of 38 is the proportion for women aged 38 and older, that is, P, - P2| |0, where p, is the population proportion of live births for women under the age of 38, and p2 is the population proportion of live births for women ages 38 and older HA: The proportion of live births for women under the age of 38 is the proportion for women aged 38 and older; that is, P1 - P2 |0, where p, is the population proportion of live births for women under the age of 38, and p2 is the population proportion of live births for women ages 38 and older. The test statistic is z =]. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Write your conclusion. Ho. The data V sufficient evidence to conclude that the proportion of live births for women under age 38 is the proportion for women aged 38 and older. c) If you concluded there was a difference, estimate that difference with a confidence interval and interpret your interval in context. O A. There is 90% confidence that the proportion of successful live births at the clinic is between and greater for mothers under the age of 38. (Round to three decimal places as needed.) O B. The conclusion was that there was no difference. Click to select your answer(s)