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stiv31 [10]
2 years ago
6

On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the

Mathematics
1 answer:
victus00 [196]2 years ago
8 0

Answer:

84.375%

Step-by-step explanation:

Total no. of computation problem=32-5=27

Total no. problems in the assignment=32

=) per%= 27/32×100%=84.375%

PLS MARK ME AS BRAINLIEST

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a) The P-value is 0.

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b) Effect size d = 0.77

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Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

H_0: \mu=1000\\\\H_a:\mu> 1000

The significance level is 0.05.

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The estimated standard error of the mean is computed using the formula:

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Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

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This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>254.036)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

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