Chapter 5, Section 1, Exercise 021 MORE BENEFITS OF EATING ORGANIC Using specifi

Question

Chapter 5, Section 1, Exercise 021

MORE BENEFITS OF EATING ORGANIC

Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing

H0:po=pcHa:po>pc

where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5% significance level.
Effect of Organic Soybeans After 8 Days
After 8 days, the proportion of fruit flies eating organic soybeans still alive is 0.78, while the proportion still alive eating conventional soybeans is 0.35. The standard error for the difference in proportions is 0.032.

A) p-value: ___________

Explanation / Answer

here test statistic z=(phat-p)/std error =(0.78-0.35)/0.032 =13.4375

as above test statistic z is very large for which p value =0.0000

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