A researcher wants to determine if the average cholesterol level in his city is different from the national average of 195.Use the provided computer output to draw a conclusion about the cholesterol levels in the researcher's city,at a significance level of 0.10. Test of $H0\mathrm { H } _ { 0 }$ : ? = 195 vs $HA\mathrm { H } _ { \mathrm { A } }$ : ? ? 195.
N Mean StDev t P-value
50 198 12 1.768 0.0833

A) Reject the null - there is not sufficient evidence to say that the average cholesterol level in the researcher's city is different from the national average
B) Fail to reject the null - there is not enough evidence to say that the average cholesterol level in the researcher's city is different from the national average.
C) Fail to reject the null - there is evidence to say that the average cholesterol level in the city is different from the national average.
D) Reject the null - there is evidence to say that the average cholesterol level in the researcher's city is different from the national average.
E) There is insufficient information to draw a conclusion.

Question

A researcher wants to determine if the average cholesterol level in his city is different from the national average of 195.Use the provided computer output to draw a conclusion about the cholesterol levels in the researcher's city,at a significance level of 0.10. Test of

H0\mathrm { H } _ { 0 }

: ? = 195 vs

HA\mathrm { H } _ { \mathrm { A } }

: ? ? 195.
N Mean StDev t P-value
50 198 12 1.768 0.0833

A) Reject the null - there is not sufficient evidence to say that the average cholesterol level in the researcher's city is different from the national average
B) Fail to reject the null - there is not enough evidence to say that the average cholesterol level in the researcher's city is different from the national average.
C) Fail to reject the null - there is evidence to say that the average cholesterol level in the city is different from the national average.
D) Reject the null - there is evidence to say that the average cholesterol level in the researcher's city is different from the national average.
E) There is insufficient information to draw a conclusion.

James Simon · Accepted Answer

Final Answer : D, Explanation :  The p-value of 0.0833 is less than the significance level of 0.10, indicating there is enough evidence to reject the null hypothesis and conclude that the average cholesterol level in the researcher's city is different from the national average.

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