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2 years ago

Helppp plezzzzzzes will give braniniilist

Mathematics

2 answers:

BabaBlast [244]2 years ago

6 0

Answer:

1. Equivalent
2. Not equivalent

Step-by-step explanation:

1. Equivalent because there's 4 x's that you add all together and that makes 4x
2. Not equivalent because 5x means there's 5 x's or x + x + x + x + x not only 1 x plus a number 5

Leviafan [203]2 years ago

6 0

Answer:

1. is equivalent. if you add the variables X, it'll be equal to 4x

2. It is not equivalent . 5x means 5 multiplied by X. x+5 means the unknown number X is added to 5, not multiplied. So it is not equivalent

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Answer:

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(b) The margin of error is 1.6%.

(c) The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

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Step-by-step explanation:

Let p = proportion of young people who had earned a high school diploma.

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(b)

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(c)

Compute the 95% confidence interval for population proportion as follows:

$CI=\hat p\pm MOE\\=0.90\pm 0.016\\=(0.884, 0.916)\\\approx (88.4\%,\ 91.6\%)$

Thus, the 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

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To test whether the percentage of young people who earn high school diplomas has increased, the hypothesis is defined as:

H₀: The percentage of young people who earn high school diplomas has not increased, i.e. p = 0.80.

Hₐ: The percentage of young people who earn high school diplomas has not increased, i.e. p > 0.80.

Decision rule:

If the 95% confidence interval for proportions consists the null value, i.e. 0.80, then the null hypothesis will not be rejected and vice-versa.

The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

The confidence interval does not consist the null value of p, i.e. 0.80.

Thus, the null hypothesis is rejected.

Hence, it can be concluded that the percentage of young people who earn high school diplomas has increased.

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