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scZoUnD [109]
3 years ago
10

What is 2000÷1000= ​

Mathematics
1 answer:
olga2289 [7]3 years ago
3 0

Answer:

The answer to your qeutsion is 2 or in a equation form it would be 2000 divided by 1000 equals 2.

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Determine the number of outcomes in the event. Decide whether the event is a simple event or not. You randomly select one card f
Marat540 [252]

Answer:

No we can consider A as single event. See the explanation below

Step-by-step explanation:

Let's define the event A as:

A=" Select a 4 from a standard deck of 52 cards"

We know that in a standard deck we have 4 different types of 4, spade, heart, diamond and club.

And by definition of simple event we need to have just one possible outcome in the experiment, and on this case we have 4 possible options for event A, so for this reason the event A can't be considered as simpl event.

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According to statistician Persi Diaconis, the probability of a penny landing heads when it is spun on its edge is only about 0.2
Arlecino [84]

Answer:

a) The p-value obtained from the one-proportion applet is more valid because a z-test statistic shouldn't have been used for the other obtained p-value. Check Explanation for more Explanation.

b) No, there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Step-by-step explanation:

The p-value for this problem was obtained from a one proportion simulation applet and another obtained using a one proportion z-test p-value.

But one of the conditions for the use of the z-test or the z-distribution in obtaining the p-value is that information on the population mean and standard deviation should be known or the sample size should be large enough such that the properties of the sample should approximate the properties of the the population distribution.

But for this question and hypothesis test, the sample that the we are working with is only of sample size 12 with no information on the population standard deviation provided, hence, the p-value obtained from the z-test statistic one proportion test is not a valid enough one due to this reason.

Plus, on calculating this p-value manually, it was obtained to be 0.078, to justify this explanation as it is very close to.the value obtained using the simulation applet.

Manual way of calculating

t = (x - μ)/σₓ

x = 5/12 = 0.41667

μ = p₀ = 0.20

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 12

σₓ = √[0.4167×0.5833/12] = 0.1423

t = (0.4167 - 0.20) ÷ 0.1423

t = 1.52

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 12 - 1 = 11

Significance level = 0.05 (This is used when no significance level is provided in the question)

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 1.52, at 0.05 significance level, df = 11, with a one tailed condition) = 0.07836

b) To know which conclusion to draw, we need to first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

And the alternative hypothesis is that there is enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Mathematically, if p is the proportion of times the spun penny will turn up heads in the long run,

The null hypothesis is represented as

H₀: p ≤ 0.20

The alternative hypothesis is represented as

Hₐ: p > 0.20

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05 (usually used when the significance level for the test isn't specified)

p-value = 0.0770

0.0770 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Hope this Helps!!!

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