An advertising agency collected a random sample of 300 businesses targeted with an advertising campaign for a large commercial bank. The sample was used to investigate the efficacy of the advertising campaign. One of the variables measured was whether the business was considering becoming a client of the bank. Of the businesses sampled, 50 of the 300 businesses reported that they were considering becoming a client of the bank. A hypothesis test was conducted to determine if this provides evidence that less than 20% of all businesses were considering becoming a client of the bank. Which of the following formulas would you use to calculate the test statistic?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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An advertising agency collected a random sample of 300 businesses targeted with an advertising campaign for a large commercial bank. The sample was used to investigate the efficacy of the advertising campaign. One of the variables measured was whether the business was considering becoming a client of the bank. Of the businesses sampled, 50 of the 300 businesses reported that they were considering becoming a client of the bank. A hypothesis test was conducted to determine if this provides evidence that less than 20% of all businesses were considering becoming a client of the bank.

Which of the following formulas would you use to calculate the test statistic?

 

 

 

t =
t =
N
X₁ X₂
-
E
x - Mo
S
xd
Sd
12
nd
p-Po
Po(1-po)
n
(Observed - Expected)²
Expected
(pî - p2)
+
√P
x² = Σ
Z =
p(1-p)
ni
p(1-p)
n₂
Transcribed Image Text:t = t = N X₁ X₂ - E x - Mo S xd Sd 12 nd p-Po Po(1-po) n (Observed - Expected)² Expected (pî - p2) + √P x² = Σ Z = p(1-p) ni p(1-p) n₂
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