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A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Sagot :

Answer:

B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Step-by-step explanation:

Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.

The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-

  • H0: There is no association between party affiliation and the county in which a person lives.
  • Ha: There is an association between party affiliation and the county in which a person lives.

The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.

The value of chi square is greater than p-value as,

[tex]19.78 > 0.003[/tex]

Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.

Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Learn more about the random sample here;

https://brainly.com/question/17831271

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