What is the appropriate alternative hypothesis? Ha: M / 1.alq Exercise 12.2: Harper's Index claims that 23% of American are in favour of outlawing cigarettes. You decide to test this claim and ask a random sample of 200 Americans whether they are in favour of outlawing cigarettes. Out of 200 Americans, 54 are in favour. 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. a. What type of test to use? (Circle one) Z-Test for one mean t-Test for one mean Z-Test for one proportion b. Conduct a hypothesis test. Is there enough evidence to reject the claim? P= 23% = 0.23 = popular proportion Step 1: State Ho, Ha X = 54 H. : P= 0. 23 n = 200 P = Sample proportion = * = 54 = 0.27 HA: PFo.23 / two tailed 1-7= 1-0.27= 0.73 Q = 1-0.23= 0.77 Step 2: Specify level of significantal= 0.05 1 - 0 = 0.95 /95%. P- 54 = 0.27 Step 3: Compute Test statistic z = p - Po 0 .27 - 0. 23 Po = 0. 23 Po (1 - Po) 0. 23 (1 - 0,23) call n 200 (0 . 27 - 0. 23 ) / V 0 . 23 / 1 - 0.23) / 200 Z= 1.344 Step 4: Find the critical value or p-value and state the rejection rule The critical value = + Za = $ 2.25 The p-value = P(Z OV= + Zo-025 = = 1.94 12 - tailed with (= 0.05) Rejection rule: Rejection rule: If test stat falls into "reject to" If P-Valve 40.05, nedect the region resect to Step 5.1: Determine whether to reject Ho Step 5.2: Write your conclusion in complete sentences 1