Hypotheses: p=.5 vs p NE .5 ; Sample data: p=28/40= .70 with n=40 Round the p-value to three decimal places.
1 answer:
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Answer:
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
the null hypothesis is accepted
There is no significant difference between their counterparts across the nation
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the U.S residents = 1.65
Given that the size of the sample 'n' = 38
Mean of the sample = 1.84
Given that the standard deviation of the sample (S) = 0.85
<u><em>Step(ii):-</em></u>
<u><em>Null hypothesis:</em></u>H₀:
There is no significant difference between their counterparts across the nation
<u><em>Alternative Hypothesis:-</em></u>H₁:
There is a significant difference between their counterparts across the nation
Test statistic
t = 1.3788
Degrees of freedom
ν = n-1 = 38-1 = 37
t₀.₀₅ ,₃₇ = 2.0262
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
Null hypothesis is accepted
<u><em>Final answer:-</em></u>
There is no significant difference between their counterparts across the nation.