Over the past three years, Shoprite Supermarket has observed the following distribution of modes of payment in the express lines: Cash (C) 41%, Cheques (Ck) 24%, Credit cards (D) 26%, and other (N) 9%. In an effort to make express checkout more efficient, Shoprite has just begun offering a discount for cash payment in the express checkout line. The table below presents the distribution of modes of payment for a sample of 500 express-line customers after the discount went into effect. Suppose you must test the hypothesis at 10% level of significance that the distribution of modes of payment in the express checkout line changed after the discount went into effect. Mode of payment Cash Checks Credit cards Other Number of customers 240 104 111 45 The conclusion will be: O a) Since 2= 10.886 is not greater than x ,=6.251. we then reject null hypothesis at 10% level of significance 1.3 and conclude that the distribution of modes of payment in the express checkout line changed after the discount went into effect. O b) Since x2 = 10.886 is greater than ,=6.251, we then reject null hypothesis at 10% level of significance and %3D .1.3 conclude that the distribution of modes of payment in the express checkout line did not changed after the discount went into effect. O c) Since x2 = 10.886 is greater than =6.251 we then fail to reject the null hypothesis at 10% level of X0.1.3 significance and conclude that the distribution of modes of payment in the express checkout line changed after the discount went into effect. Od) Since x-= 10.886 is greater than x =6.251, we then reject null hypothesis at 10% level of significance and conclude that the distribution of modes of payment in the express checkout line changed after the discount went into affect

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Over the past three years, Shoprite Supermarket has observed the following distribution of modes of payment in the
express lines: Cash (C) 41%, Cheques (Ck) 24%, Credit cards (D) 26%, and other (N) 9%. In an effort to make express
checkout more efficient, Shoprite has just begun offering a discount for cash payment in the express checkout line. The
table below presents the distribution of modes of payment for a sample of 500 express-line customers after the discount
went into effect. Suppose you must test the hypothesis at 10% level of significance that the distribution of modes of
payment in the express checkout line changed after the discount went into effect.
Mode of payment
Cash
Checks
Credit cards
Other
Number of customers
240
104
111
45
The conclusion will be
a) Since 2-10.886 is not greater than
and conclude that the distribution of modes of payment in the express checkout line changed after the discount went
into effect.
X =6.251, we then reject null hypothesis at 10% level of significance
.2
1,3
Ob) Since x= 10.886 is greater than x. =6.251, we then reject null hypothesis at 10% level of significance and
0.1.3
conclude that the distribution of modes of payment in the express checkout line did not changed after the discount
went into effect.
c) Since x-= 10.886 is greater than x,
=6.251 , we then fail to reject the null hypothesis at 10% level of
significance and conclude that the distribution of modes of payment in the express checkout line changed after the
discount went into effect.
Od) Since -=10.886 is greater than -.,=6.251, we then reject null hypothesis at 10% level of significance and
%3D
0.1.3
conclude that the distribution of modes of payment in the express checkout line changed after the discount went into
affort
Transcribed Image Text:Over the past three years, Shoprite Supermarket has observed the following distribution of modes of payment in the express lines: Cash (C) 41%, Cheques (Ck) 24%, Credit cards (D) 26%, and other (N) 9%. In an effort to make express checkout more efficient, Shoprite has just begun offering a discount for cash payment in the express checkout line. The table below presents the distribution of modes of payment for a sample of 500 express-line customers after the discount went into effect. Suppose you must test the hypothesis at 10% level of significance that the distribution of modes of payment in the express checkout line changed after the discount went into effect. Mode of payment Cash Checks Credit cards Other Number of customers 240 104 111 45 The conclusion will be a) Since 2-10.886 is not greater than and conclude that the distribution of modes of payment in the express checkout line changed after the discount went into effect. X =6.251, we then reject null hypothesis at 10% level of significance .2 1,3 Ob) Since x= 10.886 is greater than x. =6.251, we then reject null hypothesis at 10% level of significance and 0.1.3 conclude that the distribution of modes of payment in the express checkout line did not changed after the discount went into effect. c) Since x-= 10.886 is greater than x, =6.251 , we then fail to reject the null hypothesis at 10% level of significance and conclude that the distribution of modes of payment in the express checkout line changed after the discount went into effect. Od) Since -=10.886 is greater than -.,=6.251, we then reject null hypothesis at 10% level of significance and %3D 0.1.3 conclude that the distribution of modes of payment in the express checkout line changed after the discount went into affort
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