In 1999, the average percentage of women who received prenatal care per country was 80.1%. The table below contains the percentage of woman receiving prenatal care in 2009 for a random sample of countries. Do the data show that the average percentage of women receiving prenatal care in 2009 was higher than in 1999? Test at the 8% level. percentage of women receiving prenatal care in percent 91.8 99.1
In 1999, the average percentage of women who received prenatal care per country was 80.1%. The table below contains the percentage of woman receiving prenatal care in 2009 for a random sample of countries. Do the data show that the average percentage of women receiving prenatal care in 2009 was higher than in 1999? Test at the 8% level.
| percentage of women receiving prenatal care in percent |
|---|
| 91.8 |
| 99.1 |
| 90.7 |
| 87.7 |
| 100 |
| 87.7 |
| 99.1 |
| 76.65 |
| 100 |
| 93.68 |
| 100 |
| 100 |
| 97.9 |
| 100 |
| 87.76 |
| 91.5 |
| 94.51 |
| 99 |
| 96.23 |
| 97.3 |
| 75.79 |
| 100 |
| 97.3 |
| 100 |
| 74.52 |
| 95 |
| 96.23 |
| 94.3 |
| 92.47 |
| 81.9 |
| 99.1 |
| 75.79 |
| 99.1 |
| 95.8 |
| 92.2 |
| 80.34 |
| 99 |
| 76.28 |
| 97.3 |
| 87.7 |
| 97.3 |
| 90.7 |
P: Parameter
What is the correct parameter symbol for this problem?
What is the wording of the parameter in the context of this problem?
H: Hypotheses
Fill in the correct null and alternative hypotheses:
H0:H0: percent
HA:HA: percent
A: Assumptions
Since information was collected from each object, what conditions do we need to check?
Check all that apply.
- N≥20nN≥20n
- n≥30n≥30 or normal population
- σσ is known
- n(1−p)≥10n(1-p)≥10
- np≥10np≥10
- no outliers in the data
- outliers in the data
- σσ is unknown
Check those assumptions:
1. Is the value of σσ known?
2. Given the following modified boxplot (If using a screenreader, use technology to generate the modified boxplot and answer the question below.):
Are there any outliers?
3. nn = which is
Is it reasonable to assume the population is
N: Name the test
The conditions are met to use a .
T: Test Statistic
The symbol and value of the random variable on this problem are as follows:
= percent
The test statistic formula set up with numbers is as follows:
Round values to 3 decimal places.
t=¯¯¯X−μs√n=t=X¯-μsn=
(((( −- )) // /√/ ))))
The final answer for the test statistic from technology is as follows:
Round to 2 decimal places.
t =
O: Obtain the P-value
Report the final answer to 4 decimal places.
It is possible when rounded that a p-value is 0.0000
P-value =
M: Make a decision
Since the p-value , we .
S: State a conclustion
There significant evidence to conclude percent
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