MATH 1342: Elementary Statistical Methods

Assessment

In this project you will be asked to find confidence interval and perform a hypothesis test for the mean of one population.

Be sure to show all your work neatly.

Instructions

In 1999, the average percentage of women who received prenatal care per country is 88.1%.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. (Round your answer to 4 decimal places.)

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

a)What is the appropriate test for this case? (10 points)

b)What is the null hypothesis? (5 points)

c)What is the alternative hypothesis? (5 points)

d)Determine if this test is left-tailed, right-tailed, or two-tailed.(5 points)

e)What is the significance level? (5 points)

f)What is the test statistics? (10 points)

g)What is the p-value?(10 points)

h)Do we reject the null hypothesis? (10 points)

i)What is the conclusion?(15 points)

j)What is 95% confidence interval for the population mean?(10 points)

k)Interpret the confidence interval.(15 points)

Your score will be determined by how well the instructions were followed and how well the solution is written, in addition to the correctness of your answer.