If it diameter we’re reduced by half it’s volume would be

1 answer:

3 0

Well lets work it out.
Diameter = 2 * Radius
Diameter * 1/2 = 1/2 * 2 * Radius
That would mean that the Radius would also be halved.
(1/2 * Radius)^2 * pi * height = volume, and 0.5^2 = 1/4, so its volume is reduced by a fourth

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Answer:

p represent the population parameter , true proportion of people who play chess in the UK

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

$z=\frac{0.1675 -0.12}{\sqrt{\frac{0.12(1-0.12)}{400}}}=2.923$

Step-by-step explanation:

Data given and notation

n=400 represent the random sample taken

X=67 represent the people who play chess

$\hat p=\frac{67}{400}=0.1675$ estimated proportion of people who play chess

$p_o=0.12$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

p represent the population parameter , true proportion of people who play chess in the UK

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion i higher than 0.13.:

Null hypothesis: $p \leq 0.12$

Alternative hypothesis: $p > 0.12$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .