Harper’s Index claims that 23% of American are in favor of outlawing cigarettes. You decide to test this claim and ask a random sample of 200 Americans whether they are in favor of outlawing cigarettes. Out of 200 Americans, 54 are in favor. Use critical-value or p-value approach and a significance level of 0.05. Conduct a hypothesis test to determine whether there is enough evidence to reject the claim.

There is enough evidence not to reject the claim.

Step-by-step explanation:

H0: The population proportion of Americans in favor of cigarette outlawing is 0.23.

Ha: The population proportion of Americans in favor of cigarette outlawing is not 0.23.

Critical value approach

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 54/200 = 0.27

p is population proportion = 23% = 0.23

n is number of Americans sampled = 200

z = (0.27 - 0.23) ÷ sqrt[0.23(1 - 0.23) ÷ 300] = 0.04 ÷ sqrt[8.855×10^-4] = 0.04 ÷ 0.0298 = 1.34

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

Critical value at 0.05 significance level is 1.96

For a two-tailed test, the region of no rejection of H0 lies between -1.96 and 1.96

Conclusion:

Fail to reject H0 because the test statistic 1.34 falls within the region bounded by -1.96 and 1.96.

There is enough evidence not to reject the claim because the claim is contained in the null hypothesis (H0).

the answer is BE

Step-by-step explanation:

skews are lines that dont intersect or arent parallel to each other

in that case BE or CF are correct but BE is the only answer choice that works... hope it works