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Pani-rosa [81]
2 years ago
6

4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is

n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same?
Mathematics
1 answer:
Lemur [1.5K]2 years ago
6 0

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

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Well, yes and no.

Yes, because the straight line needs to pass through a number greater than 0, and 1 is obviously greater than 0.

However, y = x + 1 is not the same as y = x.

hope this helps.! let me know if it's in any way confusing..

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5 0
3 years ago
Darius lives in Ohio and pays 5.5% in sales tax. If he just bought a sweatshirt that cost $24, what was the total amount he paid
ollegr [7]

In this question, we are required to find the total amount he paid to buy the shirt.

It is given that sales tax is 5.5 % over the amount paid.

The cost price of the shirt = $ 24.

The total amount will be = Cost price + 5.5 % of Cost price

Or

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Total amount paid = $ 24 + $ 1.32 = $ 25.32


8 0
3 years ago
Read 2 more answers
Tim's mother has $24 left after buying school supplies. The next day she earns $232. She then divides all of the money equally a
Pie

Answer:

Tim has 64 dollars. I did the math and I know I'm right

8 0
3 years ago
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100 points, I need help fast!
ivolga24 [154]

a. The standard error is equal to the standard deviation divided by the square root of the sample size:

SE = (23 ppm)/√18 ≈ 5.42 ppm

b. The t statistic is given by the difference between the true and sample means, divided by the standard error:

t = (192 ppm - 180 ppm)/SE ≈ 2.21

c. The p-value is approximately 0.0204.

d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.

e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.

4 0
2 years ago
7. What is the measure of ZE ?
Gemiola [76]

Answer:

70 degrees

Step-by-step explanation:

The adjacent angles in a parallelogram are supplementary and add to 180 degrees

∠CDE+∠DEF=180

We know that ∠CDE is 110 degrees, so we can substitute that in

∠CDE+∠DEF=180

110+∠DEF=180

Subtract 110 from both sides

∠DEF= 70

So, ∠E is 70 degrees

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3 years ago
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