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Triss [41]
4 years ago
10

In what way is geometry related to basic math.

Mathematics
2 answers:
Shtirlitz [24]4 years ago
6 0
<span> Geometry is the study of points, lines, angles, surfaces, and solids.</span>Geometry is all about shapes<span> and their properties.
</span>And to do so you must use a ruler to identify them right?

Hope this helps!
Sergeeva-Olga [200]4 years ago
3 0
I think geometry is related to basic math, not only because it uses numbers, but because you need to know basic math in order to understand geometry. And many things involving basic math is used to solve may geometric problems, such as a ruler like ChanyaTalley said.

Hope this helps! Click the thanks!
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Answer:

Yes. There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>In October 1945, the Gallup organization asked 1487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?"</em><em> with 788 responding yes.</em><em> Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α=0.05 level of significance.</em>

This is a hypothesis test for a proportion.

The claim is that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi>0.5

The significance level is 0.05.

The sample has a size n=1487.

The sample proportion is p=0.53.

p=X/n=788/1487=0.53

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1487}}\\\\\\ \sigma_p=\sqrt{0.000168}=0.013

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.5-0.5/1487}{0.013}=\dfrac{0.03}{0.013}=2.288

This test is a right-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z>2.288)=0.011

As the P-value (0.011) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

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