3 years ago

0.0493 to one significant figure

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

0.05

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Eighty percent of the students graduating from high school in a small Iowa farm town attend college. The town's chamber of comme

anyanavicka [17]

Answer: 0.6368

Step-by-step explanation:

Given : The proportion of z-test for population mean : $\hat{p}= 0.80$

Sample size : $n=45$

We assume that this is normally distributed.

The test statistic for population proportion :-

$z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}$

Now, for $p_0=0.82$ , we have

$z=\dfrac{0.80-0.82}{\sqrt{\dfrac{0.82(1-0.82)}{45}}}\\\\\approx-0.35$

By using the standard normal distribution table , the probability that at least 82% of the surveyed students will be attending college will be :-

$P(p\geq0.82)=P(z\geq-0.35)\\\\=1-P(z$

Hence, the probability that at least 82% of the surveyed students will be attending college = 0.6368

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