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andrew-mc [135]
2 years ago
11

It takes Javier 12 more minutes to get to work than it takes Michaela. It takes Javier 40 minutes to get to work. How long does

it take Michaela?
Mathematics
1 answer:
lapo4ka [179]2 years ago
3 0

Answer:

342624

Step-by-step explanation:

4236terrg

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What is the probability that it does not rain tomorrow, if the probability that it ... Find the probabilities that a child selected at random, ... (a) A bag contains 2 red marbles, 1 blue marble and 1 yellow marble. ... In February 1995 it rained on 18 days. ... A card is taken at random from a full pack of playing cards with no jokers.

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Find the volume of the rectangular
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The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
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Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

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