Question

In 1999, the average percentage of women who received prenatal care per country is 80.1%. Table #7.3.9 contains the percentage of woman receiving prenatal care in 2009 for a sample of countries ("Pregnant woman receiving," 2013). Do the data show that the average percentage of women receiving prenatal care in 2009 is higher than in 1999? Test at the 5% level.

Table #7.3.9: Percentage of Woman Receiving Prenatal Care

70.08 72.73 74.52 75.79 76.28 76.28 76.65 80.34 80.60 81.90 86.30

87.70 87.76 88.40 90.70 91.50 91.80 92.10 92.20 92.41 92.47 93.00

93.20 93.40 93.63 93.68 93.80 94.30 94.51 95.00 95.80 95.80 96.23

96.24 97.30 97.90 97.95 98.20 99.00 99.00 99.10 99.10 100.00 100.00

100.00 100.00 100.00

Answer 1

Here from the given data first find the mean & standard deviation of the sample

here population standard deviation is not known

so, we can use Student's t- distribution