According to a polling organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 respondents to disclose their political philosophy: Conservative, Liberal, And Moderate. Treat the results of the survey as a random sample of adults in this region. Do the survey results suggest the proportion is higher than that reported by the pollingorganization? Use an alpha equals0.05 level of significance.75- Liberal65- Moderate61- Conservative

Now we can calculate the p value based on the alternative hypothesis with this probability:

The p value is very low compared to the significance level of then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

estimated proportion of people liberal

is the value that we want to test

z would represent the statistic

represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

Replacing the info given we got:

Now we can calculate the p value based on the alternative hypothesis with this probability:

The p value is very low compared to the significance level of then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

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step-by-step explanation:

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step-by-step explanation: