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SAT, 21.04.2020 01:41 KubraDskn

A 2013 poll found that 24% of Chinese adults see crime as a very big problem, and the standard error for this estimate, which can reasonably be modeled using a normal distribution, is SE = 1.8%. Suppose an issue will get special attention from the Chinese government if more than 20% of Chinese adults express concern on an issue. The poll workers want to conduct a hypothesis test to determine, based on the sample, if it is reasonable to conclude that more than 20% of of Chinese adults express concern about crime. Use this information to answer the following questions.

The null hypothesis for this problem is:
Select one:
H0: μ = 0
H0: p < 0.2
H0: p1 - p2 = 0
H0: p = 0
H0: p = 0.2
H0: p > 0.2

The alternative hypothesis for this problem is:
Select one:
HA: μ > 0.2
HA: p < 0.2
HA: p1 - p2 > 0
HA: p > 0
HA: p = 0.2
HA: p > 0.2
HA: p ≠ 0.2

Calculate the Z-score for this problem. (Round your answer to 2 decimal places, and do not enter any text other than the number.)

Which of the following is the correct p-value for this problem?
Select one:
0.0132
-0.0132
0.0264
0.974
0.987
None of the are the correct p-value for this problem.

Which of the following is the correct conclusion to make based on the p-value?
Select one:
Since the p-value is less than 0.05, we reject the null hypothesis. The data provide convincing evidence that more than 20 percent of Chinese adults see crime as a very big problem.
Since the p-value is greater than 0.05, we reject the null hypothesis. The data provide convincing evidence that more than 20 percent of Chinese adults see crime as a very big problem.
Since the p-value is less than 0.05, we fail to reject the null hypothesis. The data do NOT provide convincing evidence that more than 20 percent of Chinese adults see crime as a very big problem.
Since the p-value is greater than 0.05, we fail to reject the null hypothesis. The data do NOT provide convincing evidence that more than 20 percent of Chinese adults see crime as a very big problem.

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