Answer: a) z=1.43
b) 0.1528
Step-by-step explanation:
The given set of hypothesis :
Since the alternative hypothesis 
is two-tailed , so we perform two-tailed test.
Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.
Sample proportion: 
a) The z-statistic would be :-
b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)
=2P(z>1.43)
=2(1-P(z≤1.43)
=2-2P(z≤1.43)
= 2-2(0.9236)[Using standard z-table]
= 2-1.8472=0.1528
Hence, the P-value of the test= 0.1528
Answer:
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Step-by-step explanation:
<span>Since both places are on the same longitude (122° west) and different lattitudes 45° north and 37° north, the distance between the two place lies on a great circle (along a line of longitude).
Difference in latitudes = 45 - 37 = 8° (subtract the lattitudes because both sides are on the same side in the latitude i.e. both are north)
The distance between two points along the line of longitude is given by theta / 360 x 2 x pi x R: where theta = 8° and R is the radius of the earth = 3,960 miles.
d = 8 / 360 x 2 x pi x 3960 = 552.9 miles</span>
Eight and six tenths in decimal form is 8.6
Answer:
Any numbers above -5 make this inequality true. Values that will make the inequality true: -4, -3, -2, -1, 0, 1...
