milkshakegrande101

milkshakegrande101

21.05.2020 •

Mathematics

Olivia modeled her number with 3 hundreds blocks and 9 tens blocks. Todd modeled his number with 2 hundreds, 6 tens, and 5 ones blocks. Who has the greater number? How much greater

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Ответ:

esanchez2002fcb

27.05.2022

p-value = 0.9953

Step-by-step explanation:

Given

$P = 40\%$ --- proportion of population

n = 200 -- samples

$p = 31\%$ -- proportion of samples

Required

Determine the p value

First, calculate the standard deviation ( $\sigma$ )

$\sigma = \sqrt{\frac{P*(1 - P)}{n}}$

$\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}$

$\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}$

$\sigma = \sqrt{\frac{0.40*0.60}{200}}$

$\sigma = \sqrt{\frac{0.24}{200}}$

$\sigma = \sqrt{0.0012}$

$\sigma = 0.0346$

Next, we calculate the z score

$z = \frac{p - P}{\sigma}$

$z = \frac{40\% - 31\%}{0.0346}$

$z = \frac{9\%}{0.0346}$

$z = \frac{0.09}{0.0346}$

z = 2.6012

$z \approx 2.60$

From the z table, the p value of z = 2.60 is: 0.9953

Hence:

p-value = 0.9953

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