Question

Problem 2: [5 pts.] Health researchers believe that the neonatal mortality rate is higher at home (MRH) than that in the health centers (MRC). The neonatal mortality rates (both MRH and MRC) for 20 countries are recorded in SSPS file .

1. Do the data support researchers’ beliefs? Use α=0.05.
2. Find a 95% confidence interval to investigate the researchers’ belief and explain its meaning.
3. Check the assumptions of the above procedure.

Data for this Question.
Please mentioned the steps in the SPSS

NMRH	NMRC	MORT	Group
15.90 31.00 17.00 11.50 28.00 26.30 22.30 20.40 11.20 21.20 41.10 18.20 33.00 16.00 26.00 14.30 17.00 9.20 30.40 11.00	12.90 26.20 14.00 8.50 25.30 23.30 21.10 17.40 8.80 18.20 38.10 15.20 25.00 13.00 23.00 11.30 11.00 6.20 27.40 7.50	15.900000 31.000000 17.000000 11.500000 28.000000 26.300000 22.300000 20.400000 11.200000 21.200000 41.100000 18.200000 33.000000 16.000000 26.000000 14.300000 17.000000 9.200000 30.400000 11.000000 12.900000 26.200000 14.000000 8.500000 25.300000 23.300000 21.100000 17.400000 8.800000 18.200000 38.100000 15.200000 25.000000 13.000000 23.000000 11.300000 11.000000 6.200000 27.400000 7.500000	NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRH NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC NMRC

Answer 1

For this we use t test for two sample test since sample size n=20 which is less than 29 (small two sample test is used).

Below is the output of SPSS of t-test for two sample

Based on alpha =0.05 , we got p value =0.169 > .05 we accept Ho

Ho (Null Hypothesis) : The neonatal mortality rate is less  at home (MRH) than that in the health centers (MRC).

v/s H1 : (Alternative Hypothesis): The neonatal mortality rate is higher  at home (MRH) than that in the health centers (MRC).

There we conclude that The neonatal mortality rate is less  at home (MRH) than that in the health centers (MRC) at alpha = 5% level of confidence.