soupsah7304
05.01.2021 •
Mathematics
A publisher reports that 30% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually more than the reported percentage. A random sample of 100 found that 37% of the readers owned a particular make of car. Is there sufficient evidence at the 0.02 level to support the executive's claim
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Ответ:
we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage
Step-by-step explanation:
We are given;
Population proportion; p = 30% = 0.3
Sample proportion; p^ = 37% = 0.37
Sample size; n = 100
Let's define the hypotheses;
Null hypothesis; H0: p ≤ 0.3
Alternative hypothesis; Ha: p > 0.3
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
Thus;
z = (0.37 - 0.3)/√(0.3(1 - 0.3)/100)
z = 0.07/0.04582575695
z = 1.53
From z-distribution table, at z=1.53 we have;
p-value = 1 - 0.9370 = 0.063
This p-value is greater than the significance level of 0.02 and thus we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage
Ответ:
I believe the correct answer is
-0.2 , Hope this helps to anyone wanting the correct answer