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IN 2006, MERCK RELEASED A VACCINE NAMED GARDASIL FOR HPV

IN 2006, MERCK RELEASED A VACCINE NAMED GARDASIL FOR HPV

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Author: Christine Farr
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http://theperfecthomework.com/in-2006-merck-released-a-vaccine-named-gardasil-for-hpv-the-most-common-cause-of-cervical-cancer-among-young-women/

1. In 2006, Merck released a vaccine named Gardasil for HPV - the most common cause of cervical cancer among young women. The company conducted four placebo controlled double blind clinical studies of women aged 16 to 26. The results were
Treatment
n
Cervical cancer cases
n
Genital wart cases
Gardasil
8487
0
7897
1
Placebo
8460
32
7899
91
 
(a): Give a 98% confidence interval for the differences in the proportion of young women who develop cervical cancer with and without the vaccine.
Lower confidence level: 
Upper confidence level: 
(b): Give a 98% confidence interval for the differences in the proportion of young women who develop genital warts with and without the vaccine.
Lower confidence level: 
Upper confidence level: 
2. Here is data on the age (in months) that 20 children said their first words of English.
15
26
10
9
15
20
18
11
8
20
7
9
10
11
11
10
12
17
11
10
 
If you treat this as an SRS, does it provide evidence at significance level 4% that the mean age at first word is greater than 12 months?
(a): Give the associated P-value.
P-value:: 
 
3. 
Here is data on the age (in months) that 20 children said their first words of English.
15
26
10
9
15
20
18
11
8
20
7
9
10
11
11
10
12
17
11
10
 
Treat this as an SRS. Use it to provide a 90% confidence interval of the mean age in months at which children say their first words.
Lower confidence level: 
Upper confidence level: 
 
4. Fabrics respond differently to the same dye. Clothing manufacturers need to be able to match the colors of different fabrics. A researcher dyed samples of cotton and of ramie with a dye called procion blue, applied in the same way to each sample. Then she measured the lightness of the color with a colorimeter on a scale in which black is 0, white is 100. Here are the data for 8 pieces of each fabric.
Cotton:
48.82
48.88
48.98
49.04
48.68
49.34
48.75
49.12
Ramie:
41.72
41.83
42.05
41.44
41.27
42.27
41.12
41.49
 
Do these samples provide evidence significant at the 1% level that the dye affects the cotton and ramie fabrics differently?
Formulate H0 and Ha.
a. Give the test statistic: 
b. Give the P-value: 
c. Your decision for the hypothesis test:  A. Reject Ha.  B. Reject H0.  C. Do Not Reject H0.  D. Do Not Reject Ha.
 

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