A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 69% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 30 high school students, it was found that only 17 of them followed the news about Egypt closely during this time. a) Write the hypotheses for testing if the proportion of high school students who followed the news about Egypt is less than the proportion of American adults who did. H0: p ? (> = < ≠) 0.69 HA: p ?( ≠ = < > ) 0.69 b) Calculate the proportion of high schoolers in this sample who followed the news about Egypt closely during this time. (Round to 3 decimal places.) c) Below is a histogram showing the sampling distribution for 10,000 simulations under the null hypothesis. Estimate the p-value using the plot. (Round to 3 decimal places.) d) Based on a level of significance of 5% we should Select an answer reject fail to reject the null hypothesis. e) Write an appropriate conclusion about the alternative hypothesis, in context.
A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 69% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 30 high school students, it was found that only 17 of them followed the news about Egypt closely during this time.
a) Write the hypotheses for testing if the proportion of high school students who followed the news about Egypt is less than the proportion of American adults who did.
H0: p ? (> = < ≠) 0.69
HA: p ?( ≠ = < > ) 0.69
b) Calculate the proportion of high schoolers in this sample who followed the news about Egypt closely during this time. (Round to 3 decimal places.)
c) Below is a histogram showing the sampling distribution for 10,000 simulations under the null hypothesis. Estimate the p-value using the plot. (Round to 3 decimal places.)
d) Based on a level of significance of 5% we should
Select an answer reject fail to reject the null hypothesis.
e) Write an appropriate conclusion about the alternative hypothesis, in context.
a)
H0: p = 0.69
HA: p < 0.69
b)
Sample proportion:
p^=17/30
=0.567
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
