An interesting and popular hypothesis is that individuals can temporarily postpo

Question

An interesting and popular hypothesis is that individuals can temporarily postpone their death to survive a major holiday or important event such as a birthday In a study of this phenomenon, it was found that there were 6062 deaths in the week before Thanksgiving, and 5938 deaths the week after Thanksgiving (based on data from "Holidays, Birthdays, and Postponement of Cancer Death," by Young and Hade, Journal of the American Medical Association, Vol. 292, No. 24). If people can postpone their deaths until after Thanks giving, then the proportion of deaths in the week before should be less than 0.5. Use a 0.05 significance level to test the claim that the proportion of deaths in the week before Thanksgiving is less than 0.5. Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the Thanksgiving holiday?

Explanation / Answer

here null hypothesis:p=0.5

alternate hypothesis: p<0.5

for 0.05 level of significance critical value z = -1.645

here n=12000

therefore std error =(p(1-p)/n)1/2 =0.0046

for phat =6062/12000=0.5052

therefore test stat z =(phat-p)/std error =1.1320

for abvoe test stat p value =0.8712

as p value is higher then 0.05 level of significance or we can see that test stat is not less then critical value we can not reject null hypothesis.

we do not have evidence that people can temporarily postpone their death to survice the thanksgiving holiday.

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