Crime concerns in China. A 2013 poll found that 23.3% 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 = 1.4%. Suppose an issue will get special attention from the Chinese government if more than 1-in-5 Chinese adults express concern on an issue.

1. Choose words from the dropdown choices to construct hypotheses regarding whether or not crime should receive special attention by the Chinese government according to the 1-in-5 guideline. Before making your choices consider the appropriateness of using a one-sided or two-sided test for this exercise. That is, for this decision process, would we care about one or both directions?

H0:H0: The proportion of adults in China who see crime as a very big problem is ? more than not more than different from not different from less than not less than ? 20% 23.3% 1.4% . The observed difference ? is is not due to chance.

HA:HA: The proportion of adults in China who see crime as a very big problem is ? more than not more than different from not different from less than not less than ? 20% 23.3% 1.4% . The observed difference ? is is not due to chance.

2. Calculate a z-score using the observed percentage and the two model parameters. Round to four decimal places. z =

3. Use the normal model to calculate a p-value. Round to four decimal places. p =

4. Based on your p-value, should crime receive special attention from the Chinese government?

? Yes No because we ? should should not reject the null hypothesis.

Step-by-step explanation:

Hello!

The claim is that the Chinese government will get special attention to an issue if more than 1-in-5 Chinese adults express concern on an issue.

The study variable is X: the proportion of Chinese adults that see crime as a very big problem.

The parameter of interest is the population proportion of Chinese adults that see crime as a very big problem.

If this proportion is greater than 1/5= 0.20 then the government will get special attention to crime, so the hypotheses are:

1.

H₀: p ≤ 0.2

H₁: p > 0.2

2.

Using the information that the sample proportion is p'= 0.233 and the standard error for the approximation to a normal distribution SE= 0.014, the statistic value is

3.

A little reminder: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

This hypothesis test is one-tailed to the right, the p-value has the same direction as the test so to calculate it you have to do the following calculations:

P(Z ≥ 2.3571)= 1 - P(Z < 2.3571)= 1 - 0.991= 0.009

4.

The decision rule using the p-value is the following:

If p-value ≤ α, then you reject the null hypothesis.

If the p-value > α, then you do not reject the null hypothesis.

There is no significant level specified, but if for example, you use a level of α: 0.05, since the p-value is less, then the decision is to reject the null hypothesis.

Using a significance level of 5% you can conclude that more than 1 out of 5 adults consider crime as a very big problem and the Chinese government should give special attention to crime.

I hope it helps!

the barter

a. is correct