Two schools conduct a survey of their students to see if they would be interested in having free tutoring available after school. We are interested in seeing if the first school population has a lower proportion interested in tutoring compared to the second school population. You wish to test the following claim (Ha) at a significance level of α=0.001. Ho:p1=p2 Ha:p1
Two schools conduct a survey of their students to see if they would be interested in having free tutoring available after school. We are interested in seeing if the first school population has a lower proportion interested in tutoring compared to the second school population.
You wish to test the following claim (Ha) at a significance level of α=0.001.
Ho:p1=p2
Ha:p1<p2
You obtain 14.3% successes in a sample of size n1=568 from the first population. You obtain 21.5% successes in a sample of size n2=755 from the second population.
How many students stated that they are interested in afterschool tutoring from School 1? Round to the nearest whole number.
How many students stated that they are interested in afterschool tutoring from School 2? Round to the nearest whole number.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
- less than (or equal to) αα
- greater than αα
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to reject that the first school population has a lower proportion interested in tutoring compared to the second school population.
- There is not sufficient evidence reject that the first school population has a lower proportion interested in tutoring compared to the second school population.
- There is sufficient evidence to support that the first school population has a lower proportion interested in tutoring compared to the second school population.
- There is not sufficient sample evidence to support that the first school population has a lower proportion interested in tutoring compared to the second school population.
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