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Ket [755]
3 years ago
11

What is the average temperature a b c or d

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer: b

Step-by-step explanation:

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a) H0 : P = 0.07

   Ha : P ≠ 0.07

b) p -value = 0.1770

Step-by-step explanation:

P = 7% = 0.07

x (result ) = 7 , n = 163

p = x / n = 7 / 163 = 0.043

<u>a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis</u>

H0 : P = 0.07

Ha : P ≠ 0.07

conduct a  Z- test statistic

Z = ( p - P ) / \sqrt{\frac{P(1-P)}{n} }

  = ( 0.043 - 0.07 ) / \sqrt{\frac{P(1-P)}{n} }  =  - 1.35

Critical value ( Z₀.₀₂₅ ) = ± 1.96

<em>we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change</em>

<u>b) Determine the p-value of the test </u>

P-value = P ( | Z | > Z )

             = 2 * P ( Z < -1.35 )

             = 0.1770

The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )

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3 years ago
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