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drek231 [11]
2 years ago
8

Find the P-value for a test of the claim that more than 60% of the people following a particular diet will experience increased

energy (H1: p > 0.6). Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level. 2.041 1.5486 1.2743 2.536
Mathematics
1 answer:
lina2011 [118]2 years ago
4 0

Answer:

The p-value of the test is 0.0207.

Step-by-step explanation:

Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).

The null hypothesis is:

H_0: p = 0.6

The alternate hypothesis is:

H_1: p > 0.6

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that \mu = 0.6, \sigma = \sqrt{0.6*0.4}

Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.

This means that n = 100, X = \frac{70}{100} = 0.7

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}

z = 2.04

P-value of the test:

The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.

Looking at the z-table, z = 2.04 has a p-value of 0.9793

1 - 0.9793 = 0.0207

The p-value of the test is 0.0207.

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Answer:

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Step-by-step explanation:

Given data

Cost for the visit=442.25 Rubles

exchange rate

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Therefore if 1 USD is 30.5 Rubles

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cross multiply

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6 0
2 years ago
A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cub
professor190 [17]

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

<h3>What is the volume of an hemisphere?</h3>

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

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  • r = radius

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

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Therefore,

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93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

learn more on hemisphere here: brainly.com/question/14527816

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Brilliant_brown [7]

John walks 0.6 miles in 1 hour.

Step-by-step explanation:

Distance walked by John = 3 miles

Time period = 5 hours

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Unit rate is the ratio of two measurements, in which one measurement is one, therefore,

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John walks 0.6 miles in 1 hour.

Keywords: ratio, distance

Learn more about distances at:

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#LearnwithBrainly

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My name is Ann [436]
Get like terms together. you might have to move across the equals sign

3x-x=-6+82

2x=76

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Answer:

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Or is it actually a black screen with something on it and no one can see?

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