Maria wants to know if the number of words on a page in her earth science book is generally more than the number of words on a p
age in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
She claims that because the mean number of words on each page in the earth science book is greater than the mean number of words on each page in the math book, the earth science book has more words per page. Based on the data, is this a valid inference?
A.
Yes, because the mean is larger in the earth science book.
B.
No, because the mean is larger in the earth science book.
C.
Yes, because there is a lot of variability in the earth science book data.
D.
No, because there is a lot of variability in the earth science book data.
She claims that because the mean number of words on each page in the earth science book is greater than the mean number of words on each page in the math book, the earth science book has more words per page. Based on the data, is this a valid inference?
A.
Yes, because the mean is larger in the earth science book.
B.
No, because the mean is larger in the earth science book.
C.
Yes, because there is a lot of variability in the earth science book data.
D.
No, because there is a lot of variability in the earth science book data.
2 answers:
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Answer:
95% confidence interval for the difference between the proportions of males and females who have the blood disorder is [-0.064 , 0.014].
Step-by-step explanation:
We are given that a certain geneticist is interested in the proportion of males and females in the population who have a minor blood disorder.
A random sample of 1000 males, 250 are found to be afflicted, whereas 275 of 1000 females tested appear to have the disorder.
Firstly, the pivotal quantity for 95% confidence interval for the difference between population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion of males having blood disorder=
= 0.25
= sample proportion of females having blood disorder =
= 0.275
= sample of males = 1000
= sample of females = 1000
= population proportion of males having blood disorder
= population proportion of females having blood disorder
<em>Here for constructing 95% confidence interval we have used Two-sample z proportion statistics.</em>
<u>So, 95% confidence interval for the difference between the population proportions, </u><u>(</u><u>)</u><u> is ;</u>
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 < < 1.96) = 0.95
P( <
<
) = 0.95
P( < (
) <
) = 0.95
<u>95% confidence interval for</u> () =
[,
]
= [ ,
]
= [-0.064 , 0.014]
Therefore, 95% confidence interval for the difference between the proportions of males and females who have the blood disorder is [-0.064 , 0.014].