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lana [24]
3 years ago
10

Toothpicks are used to make a grid 10 toothpicks wide and 8 toothpicks long. How many toothpicks are used in total?

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

80

Step-by-step explanation:

10(8)=80

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Answer:

Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

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(1)

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<em>H</em>₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}=  0.  

<em>Hₐ</em>: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}\neq  0.  

(2)

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\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\

Compute the test statistic value as follows:

Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}

   =\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86

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(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

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p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424

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The null hypothesis will be rejected at 0.02 significance level.

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