Question

For the test of significance questions, clearly indicate each of the formal steps in the test of significance.

Step 1: State the null and alternative hypothesis.
Step 2: Calculate the test statistic.
Step 3: Find the p-value.

Step 4: State your conclusion. (Do not just say “Reject H0” or “Do not reject H0”, state the conclusion in the context of the problem.)

In a recent survey of county high school students, 100 males and 100 females, 66 of the male students and 47 of the female students sampled admitted that they consumed alcohol on a regular basis. Find a 90% confidence interval for the difference between the proportion of male and female students that consume alcohol on a regular basis. Can you draw any conclusions from the confidence interval?

Answer 1

Here we have n=100 m 100 22 247 24 66 < X2 m 47 100 66 -B Els 100 0.47 20.66 0.565 Ia + 2 66 +47 100 +100 n, + m Standard Error Veli-olm + 70.565)11-0-565) (100 0.0701 + 100

Steph: Hypothesis Ho: P - P2 = 0 Ha: P - P2 & 0 This is a two failed test Stepair Pext statistics - 0.66 -0.47 S.A 0.070) Za =12711 Step 3: Pralue Prajure af za 4 Z=12.711 Pvalue = 2* Plz) 2.79 - 2* (1– PIZS 2.799 = 2*14-0.996636) (from standard normal calcw aboy 20.006728 210.00677 Round to 4 decimal Places Step 4:- conclusion Sina Prallies a 10-019, 80 reject the null Hypothesis There is sufficient evidence to support the claim that there is difference between the Profartim of male and females students that consume alcohol on a regular basis.

20.66-047 = 1,645 * 0.0701 At 90, confidence intervals , ♡ - 1-0.90 = 0.10 "a12 20.05 Zcritical a 20.05 2 1.6455. 9ou confidence interval for 12-23) Ô, - Å + Zcritical * S.A = 0.19 + 0.1153145 20.07468 55, 0 30 53145 -10.0747, 0.3053) Round to 4 decimal plaus. does not contain zero, Since, the confidence interval

There is sufficient evidence to supplert the claim that there is difference between the Proportion of male and females students that consume alcohol on a regular basis.

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