Answer:
The calculated value z = 2.65>1.64 at 90% of level of significance
we reject null hypothesis at 10 % level of significance
The therapists use a method is not equivalent to random guesses
<u>Step-by-step explanation:</u>
<u>Step1:-</u>
Given n = 279
Among 279 trials, the touch therapists were correct 118 times
Proportion of success 'p' = 118/ 279 = 0.4229
She flipped a coin to select either her right hand or her left hand
The Population proportion P = 1/2 = 0.5
level of significance level ∝ = 0.10
Null hypothesis H₀: P = 0.5
Alternative hypothesis H1: P ≠ 0.5
Q =1-P = 0.5
<u>Step2:</u>-
The z- statistic
Z = p-P/ S.E
where standard error of proportion
S.E = √PQ/n
S.E = 0.029
z = 0.4229-0.5/0.029 = -2.65
|z|=|-2.65|=2.65
<u>Conclusion</u>:-
The calculated value z = 2.65
The tabulated value z = 1.64 at 10% 0r 90% of level of significance
The calculated value z = 2.65>1.64 at 90% of level of significance
we reject null hypothesis at 10 % level of significance
The therapists use a method is not equivalent to random guesses
