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ID: 3380352 • Letter: F
Question
Explanation / Answer
a)
Formulating the null and alternatuve hypotheses,
Ho: p <= 0.3
Ha: p > 0.3 [ANSWER]
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b)
As this is a right tailed z test, then at 0.01 level,
zo = 2.33 [ANSWER]
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c)
As we see, the hypothesized po = 0.3
Getting the point estimate of p, p^,
p^ = x / n = 0.35
Getting the standard error of p^, sp,
sp = sqrt[po (1 - po)/n] = 0.014209964
Getting the z statistic,
z = (p^ - po)/sp = 3.518657753 [ANSWER]
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D)
As z > 2.33, we REJECT THE NULL HYPOTHESIS.
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