Errors with Toast Suppose you are testing someone to see whether he or she can tell butter from margarine when it is spread on toast. You use many bite-sized pieces selected randomly, half from buttered toast and half from toast with margarine. The taster is blindfolded. The null hypothesis is that the taster is just guessing and should get about half right. When you reject the null hypothesis when it is actually true, that is often called the first kind of error. The second kind of error is when the null is false and you fail to reject. Report the first kind of error and the second kind of error.
Errors with Toast Suppose you are testing someone to see whether he or she can tell butter from margarine when it is spread on toast. You use many bite-sized pieces selected randomly, half from buttered toast and half from toast with margarine. The taster is blindfolded. The null hypothesis is that the taster is just guessing and should get about half right. When you reject the null hypothesis when it is actually true, that is often called the first kind of error. The second kind of error is when the null is false and you fail to reject. Report the first kind of error and the second kind of error.
Solution Summary: The author explains the two types of errors that can be made in conducting the hypothesis test of proportion of correct guesses made by the taster.
Errors with Toast Suppose you are testing someone to see whether he or she can tell butter from margarine when it is spread on toast. You use many bite-sized pieces selected randomly, half from buttered toast and half from toast with margarine. The taster is blindfolded. The null hypothesis is that the taster is just guessing and should get about half right. When you reject the null hypothesis when it is actually true, that is often called the first kind of error. The second kind of error is when the null is false and you fail to reject. Report the first kind of error and the second kind of error.
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Part (b)
Draw a scatter plot of the ordered pairs.
N
Life
Expectancy
Life
Expectancy
80
70
600
50
40
30
20
10
Year of
1950
1970 1990
2010 Birth
O
Life
Expectancy
Part (c)
800
70
60
50
40
30
20
10
1950
1970 1990
W
ALT
林
$
#
4
R
J7
Year of
2010 Birth
F6
4+
80
70
60
50
40
30
20
10
Year of
1950 1970 1990
2010 Birth
Life
Expectancy
Ox
800
70
60
50
40
30
20
10
Year of
1950 1970 1990 2010 Birth
hp
P.B.
KA
&
7
80
% 5
H
A
B
F10
711
N
M
K
744
PRT SC
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