Question

Please Show Work. Thank you.

7. Conduct a hypothesis test showing all of your steps. Females under the age of 51 years old are supposed to get, on average, 18 mg of iron daily. In a random sample of 44 women, their daily mean intake was 16.77 mg of iron with a standard deviation of 3.02 mg. An agency claims that women get less than the recommended daily iron intake. Test this claim with a 4% level of significance. a) State the hypotheses and label the claim. b) Is it left-tailed, right-tailed, or two-tailed (circle one)? c) What are the critical values? Draw a picture. d) What are the P-value and/or test-statistics? e) Give two reasons for your decision to reject/not reject Ho based on: 1) Test statistic compared to critical value(s) 2) P-value compared to a. State the conclusion, relating it back to the original claim.

Answer 1

solution : - a) Ho: l=18 Haec 18 b) This is test Let tailed o tcoibical to-1,9 = +43, 0.04 =-1.793 EM critical region -1.793 allon d Test stabishic = X-4 16.77-18 - 2.702 11 3.02 1 44 dof-n-1 = 43 P-value O-0049 e) 1) Test statistic troibal (Reject Ho) 2) P-value ca (Reject Ho) There is sufficient evidence to agency support the claim that women get less than recommended daily iron intake.