
Concept explainers
b) The test statistic value is:
c) Using the Traditional method, the critical value is:


In this scenario, It is appropriate to use one proportion Z test.
Hypotheses:
Let p be the proportion of children in the high income group that drew the nickel too large. The aim is to check that the proportion of children in the high income group that drew the nickel too large is smaller than 50%.
The null hypothesis is H0 : p=0.5
The alternative hypothesis Ha : p <0.5.
The type of test statistic is one proportion Z test.
Calculation steps:
b)
Test statistic:
Here, n =35 and p^ =0.3715. The hypothetical proportion, p0 is 0.5. The test statistic for hypothesis test for proportion is given by:
zcalc=ˆp-p√p0(1-p0)n=0.3715-0.5√0.5(1-0.5)35=-0.12850.08452=-1.52
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