In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 n2 = 150 You decide to run a test for which the alternative hypothesis is H1: p1 > p2. Find the appropriate test statistic for the test

Where  

Replacing the info given we got:

We can calculate the p value with this probability:

Since the p value is a very higher value we don't have enough evidence to conclude that the true proportion for population 1 is higher than the trrue proportion for population 2

Step-by-step explanation:

Information given

represent the number of people with the characteristic 1  

represent the number of people with the characteristic 2   sample 1 selected  

sample 2 selected  

represent the proportion estimated for the sample 1  

represent the proportion estimated for the sample 2  

represent the pooled estimate of p

z would represent the statistic (variable of interest)    

represent the value for the test

Hypothesis to test

We want to check if the proportion for population 1 is higher than the proportion for population 2, the system of hypothesis would be:    

Null hypothesis:    

Alternative hypothesis:    

The statistic would be given by:

  (1)  

Where  

Replacing the info given we got:

We can calculate the p value with this probability:

Since the p value is a very higher value we don't have enough evidence to conclude that the true proportion for population 1 is higher than the trrue proportion for population 2

answer;

the correct answer

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