Test statistic is 0.42.
Given
Testing:
h0 : p = 0.74
h1 : p < 0.74
Successes x = 33
Subject n = 43
A test statistic is a number calculated by a statistical test. It describes how far your observed data is from the null hypothesis of no relationship between variables or no difference among sample groups.
It measures the accuracy of the predicted data distribution relating to the null hypothesis you use when analyzing data samples.
Test statistics z = [tex]\frac{p_{hat} - p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
Where [tex]p_{hat}[/tex] = Sample proportion = [tex]\frac{x}{n}[/tex]
p = population proportion
n = sample size
z = [tex]\frac{(\frac{33}{43})-0.74 }{\sqrt{\frac{0.74(1-0.74)}{43} } }[/tex]
z = 0.42
Hence,
Test statistics is 0.42..
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