Given the sample data below, test the claim that the proportion of male voters who plan to vote Republican at the next presidential election is 15 percentage points more than the percentage of female voters who plan to vote Republican. Assume all requirements are met. Use the P-value method of testing hypotheses.
Men: n1 = 250, x1 = 146
Women: n2 = 202, x2 = 103

The p value would be given by:

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

Step-by-step explanation:

Information provided

represent the number of male in favor

represent the number of female in favor

sample of males selected

sample of females selected

represent the proportion of males in favor

represent the proportion of females in favor

represent the pooled estimate of p

z would represent the statistic

represent the value

System of hypothesis

We want to test if the proportion of males in favor is 0.15 point above the proportion of females, the system of hypothesis would be:    

Null hypothesis:    

Alternative hypothesis:    

The statistic is given by:

  (1)  

Where  

Replacing the info given we got:

The p value would be given by:

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw