3 years ago

Question in picture above

Mathematics

1 answer:

almond37 [142]3 years ago

8 0

A is the correct answer

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Answer:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

$p_v =2*P(z$

Step-by-step explanation:

Information given

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$\hat p=0.4$ estimated proportion of readers owned a laptop

$p_o=0.45$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Creating the hypothesis

We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:

Null hypothesis: $p=0.45$

Alternative hypothesis: $p \neq 0.45$

The statistic is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

Calculating the p value

We have a bilateral test so then the p value would be:

$p_v =2*P(z$

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