The mean annual tuition and fees for a sample of 9 private
colleges was with a standard deviation of A dotplot shows that it
is reasonable to assume that the 1- population is approximately
normal. You wish to test whether the mean tuition and fees for
private colleges is different from .
State a conclusion regarding H0. Use the level of significance.
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2- About 29% of all burglaries are through an open or unlocked door or window. A sample of 130 burglaries indicated that 87 were not via an open or unlocked door or window. At the 0.05 level of significance, can it be concluded that this differs from the stated proportion?
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As per company policies, I am answering question one ONLY.
Ho: p =.29 v/s h1: p=/=.29
X= 87
n= 130
p-hat = X/n= 0.669
po= 29%
ALPHA= 5.00%
z(a/2)
z(0.05/2)
1.960
Z = (phat-p)/sqrt(p*(1-p)/n)
=(0.669230769230769-0.29)/SQRT(0.29*(1-0.29)/130)
9.52899
P-value
2*(1-P(z<|z|)
2*(1-P(z<abs(9.528994))
normsdist(abs(9.528994))
0.0000
With (z=9.52, p<5%),the null hypothesis is rejected at 5% level of significance and I conclude that p=/=.29.
In other words, I can say that there is sufficient evidence to support the claim that the proportion of open Windows or doors Bulgaria is different from 29%.
a. None of the above.
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