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aivan3 [116]
3 years ago
10

A large consumer goods company ran a television advertisement for one of its soap products.

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that a large consumer goods company ran a television advertisement for one of its soap products.

B = individual purchased the product S = individual recalls seeing the advertisement B∩S = individual purchased the product and recalls seeing the advertisement

The probabilities assigned were P(B)=.20,P(S)=.40, and P(B∩S)=.12

a) P(B/S) = \frac{P(B\bigcap S}{P(S)} \\=\frac{0.12}{0.40} \\=0.30

Yes we can continue the advt since P(B/A) >P(B)

b)

It is preferable to continue advt as chances of purchase after seeing advt is more than purchase without seeing advt.

c) P(B/S) =\frac{P(B\bigcap S}{P(S)} \\=\frac{0.1}{0.3} \\=0.3333

The II advt has the bigger effect since conditional prob is more here.

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Answer:

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The test statistics can be computed as:

Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}

Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}

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The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

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The correct answer is B.)
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