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borishaifa [10]
3 years ago
13

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7

Mathematics
1 answer:
kolezko [41]3 years ago
6 0
2 fancy shirts and 5 plain shirts
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In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele
vladimir1956 [14]

The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

z = -2.73

From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

P-value = P(Z ≤ - 2.73)

By using the Excel function =NORMDIST (-2.73)

P-value = 0.00317

P-value ≅ 0.003

Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

Learn more about hypothesis testing here:

brainly.com/question/15980493

#SPJ1

3 0
2 years ago
Super Super dumb Easy question lol<br> Does this count as an equation 60.50 × .20 = x
xxTIMURxx [149]
Yes i’m pretty sure it counts
4 0
3 years ago
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The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.?
sergejj [24]

Answer:

Width is 10 1/2 inches and the length = 21 inches.

Step-by-step explanation:

Let the width be x then the length us 2x inches.

Perimeter = 2x + 2(2x) = 63

6x = 63

x = 10 1/2 inches.

5 0
3 years ago
Ms.Holmes decided to water her plants.She had 2 1/2 gallons of water.She gave each plant 1/4 gallon of water.Which expression co
Inessa [10]

Answer:

(1/4)x=2 1/2

Step-by-step explanation:

It is 2.5 gal. of water and 0.25 gal. of water per plant.

It could also be x=(1/4)/(2 1/2)

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3 years ago
What is the least common denominator for adding the fractions 4/15, 1/12, and 3/8
yarga [219]
60 hope this helps!!!!!!!!!!!!!!!
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