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Brut [27]
3 years ago
8

Need some help on the lower question. Thanks

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

180 = 60 + (180-a) + (180-b)

120 = 180 - a + 180 - b

-240 = -a - b

b - 240 = -a

b = 240 - a

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Answer:

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Answer:

<em>H₀</em>: <em>p</em> = 0.20.

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Step-by-step explanation:

The question is:

The data in Nutrition Study include information on nutrition and health habits of a sample of 315 people. One of the variables is Smoke, indicating whether a person smokes or not (yes or no). Use technology to test whether the data provide evidence that the proportion of smokers is different from 20% given that 43 identify themselves as smokers. Clearly state the null and alternative hypotheses

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A one-proportion <em>z</em>-test can be used to determine the conclusion for this test.

The hypothesis defined as:

<em>H₀</em>: The proportion of smokers is 20%, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: The proportion of smokers is different from 20%, i.e. <em>p</em> ≠ 0.20.

The information provided is:

<em>n</em> = 315

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p-value=2\times P(Z

*Use a <em>z</em>-table.

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The <em>p</em>-value is quite small. So, the null hypothesis will be rejected at any significance level.

Thus, it can be concluded that the  proportion of smokers is different from 20%.

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