Group lending and household saving a non-governmental organization (ngo) is investigating whether the average annual amount saved by households that participate in a group lending program (x population) is higher than the average annual amount saved by households that are not participating (y population). in a random sample of 36 households that participate in a group lending program, the mean amount saved was $200, and the standard deviation of amounts saved was $40. in an independent random sample of 26 households that are not participating, the mean amount saved was $180, and the standard deviation of amounts saved was $45. test the null hypothesis that the population mean amount saved by households participating in a group lending program is no larger than the population mean amount saved by households that are not participating, against the alternative hypothesis that it is larger. use a 5% level of significance. assume that the distribution of amounts saved is approximately normal in each population (households participating in a group lending program, and households not participating), and that the distributions have a common but unknown variance. this is the first of 7 multiple choice questions for this problem. what are the correct null and alternative hypotheses?
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