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schepotkina [342]
3 years ago
15

Physicians at a clinic gave what they thought were drugs to 860 patients. Although the doctors later learned that the drugs were

really placebos,59% of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.55. Test the hypotheses that the proportion of patients improving is >0.55
Find the test statistics:

z=


Find the p-value.
p=
Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

Z=2.36

P=0.0091

Step-by-step explanation:

The hypothesis is:

π > 0.55 which is the population proportion

The formula to get the test statistic is

Zstat = P-π/√π(1-π)/n

P =507.4/860 = 0.59 (sample proportion )

n =860 (sample size)

π =0.55(population porportion)

Zstat = 0.59-0.55/√0.55(1-0.55)/860

Zstat =2.36

From Z table the probability of Z score of 2.36 is 0.9909

To calculate for P- value will then be

P= 1 - 0.9909

P= 0.0091

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Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each sc
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Answer:

The system of equation that represent this situations are;

\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

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h+s=15 \ \ \ \ equation \ 1

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Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

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0.2h+0.1s=2 \ \ \ \ \ equation \ 2

Hence the system of equation that represent this situations are;

\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

10(0.2h+0.1s)=2\times 10\\10\times0.2h+10\times0.1s=20\\2h+s =20 \ \ \ \ \ equation \ 3

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(2h+s)- (h+s) =20-15\\2h+s-h-s=5\\h= 5

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h+s= 15\\5+s =15\\s=15-5\\s=10

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