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Mathematics, 07.12.2019 01:31 jennainglish

Adevelopment economist is studying income growth in a rural area of a developing country. the last census of the population of this area, several years earlier, showed that mean household annual income was 425 dollars, and the variance of household income was 2500 (dollarssquared). a current random sample of 100 households yields a sample mean income of $433.75. assume that household annual incomes are approximately normally distributed, and that the population variance is known still to be 2500. test the null hypothesis that population mean income has not increased ( h0 :   425 ) against the alternative hypothesis that it has increased ( ha :   425 ), at a 1% level of significance. multiple choice #1 what is the form of the rejection region? a. reject h0 if x < cv b. reject h0 if x > cv c. reject h0 if x < cv or if x > cv d. reject h0 if x = cv 3 multiple choice #2 what is the critical value? a. 436.63 b. 433.75 c. 425 d. 437.88 multiple choice #3 what is the conclusion of the hypothesis test? a. accept h0 b. reject h0 in favor of ha question #4 if the population mean is $420, what is the probability of rejecting the null hypothesis? question #5 if the population mean is $430, what is the power of the test? question #6 if the population mean is $435, what is the power of the test?

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