![hsjsjsjdjjd](/avatars/38887.jpg)
hsjsjsjdjjd
24.01.2020 •
Mathematics
Shortly after september 11th 2001, a researcher wanted to determine if the proportion of females that favored war with iraq was significantly different from the proportion of males that favored war with iraq. in a sample of 73 females, 28 favored war with iraq. in a sample of 54 males, 29 favored war with iraq.
a) let pf represent the proportion of females that favor the war, pm represent the proportion of males that favor the war. what are the proper hypotheses?
a.)h0: pf = pm versus ha: pf > pm
b.)h0: pf < pm versus ha: pf = pm
c.)h0: pf = pm versus ha: pf < pm
d.)h0: pf = pm versus ha: pf ≠ pm
b) what is the test statistic? compute the statistic using male statistics subtracted from female statistics. give your answer to four decimal places.
c) what is the p-value for the test? give your answer to four decimal places.
d) using a 0.01 level of significance, what conclusion should be reached?
a.)the proportion of females that favor the war and the proportion of males that favor the war are significantly different because the p-value is less than 0.01.
b.)the proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the p-value is greater than 0.01.
c.)the proportion of females that favor the war and the proportion of males that favor the war are significantly different because the p-value is greater than 0.01.
d.)the proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the p-value is less than 0.01.
e) what is the lower endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? give your answer to four decimal places.
f) what is the upper endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? give your answer to four decimal places.
Solved
Show answers
More tips
- C Computers and Internet How to Set Up Internet on iPhone? Detailed Guide with Step-by-Step Instructions...
- P Philosophy 8 привычек, чтобы достичь счастливой жизни...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- G Goods and services How to Choose the Right Iron: Purchase Tips...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- H Health and Medicine How to Choose the Right Glasses?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Flu: How to Recognize It by the First Symptoms?...
- H Health and Medicine What to Do If You Are Bitten by a Dog?...
Answers on questions: Mathematics
- M Mathematics Right there in quality this number line represents....
- M Mathematics Which of the following describes the function −x4 + 1? the degree of the function is even, so the ends of the graph continue in opposite directions. because the leading coefficient...
- M Mathematics Which of the following options is a better purchase for a microwave?...
- M Mathematics Find the volume of the cone using 3.14 for pi. Please help asap i need it!...
Ответ:
a) D.)H0: pF = pM versus Ha: pF ≠ pM
b) [
c)
d) B.)The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01.
e)
f)
Step-by-step explanation:
1) Data given and notation
z would represent the statistic (variable of interest)
Part a
We need to conduct a hypothesis in order to checkif the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The best option is:
D.)H0: pF = pM versus Ha: pF ≠ pM
Part b
We need to apply a z test to compare proportions, and the statistic is given by:
Where
Calculate the statistic
Replacing in formula (1) the values obtained we got this:
Part c
We have a significance level provided
, and now we can calculate the p value for this test.
Since is a one two sided test the p value would be:
Part d
If we compare the p value and the significance level given
we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the best conclusion would be:
B.)The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01.
Part e
The confidence interval for the difference of two proportions would be given by this formula
For the 99% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
Part f
Ответ:
x= -2
Step-by-step explanation: