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Asked Nov 21, 2019
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Find the P-value for the indicated hypothesis test.
2) In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer
from asthma. Find the P-value for a test of the claim that the proportion of all children in the
town who suffer from asthma is equal to 11%.
D) -0.2843
A) 0.2843
B) 0.2157
C) 0.5686
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Find the P-value for the indicated hypothesis test. 2) In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. D) -0.2843 A) 0.2843 B) 0.2157 C) 0.5686

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Expert Answer

Step 1

The test hypotheses are given below:

Null hypothesis:

H0:p=0.11

Alternative hypothesis:

Ha:p≠0.11

The value of sample proportion is,

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х п 88 =0.091

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Step 2

The test statistic is obtained as follows:

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Sample statistic Null Parameter z = SE pPo р. (1- Р.) п 0.091-0.11 0.11(1-0.11) 88 -0.019 0.0334 =-0.57 ||

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Step 3

Thus, the test statistic is –0.57.

p-value:

Step-by-step procedure to obtain the p-value using STATKEY:

  • Choose Normal under Theoretical Distributions.
  • In Normal Distribution, click Edit Parameters.
  • Enter mean as 0 and standard deviation as 1 and click Ok.
  • Click Two Tail.
  • In Custom cutoff, enter the numerical cutoff value a...
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Left Tail Two-Tail Right Tail 0.40 0.35 0.30 0.25 0.20 0.284 0.431 0.284 0.15 0.10 0.05 0.00 -4.0 3.0 2.0 1.0 0.0 1.0 2.0 3.0 4.0 -0.570 0.570

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