The university conducts a study designed to find out the proportion of students who have conversational fluency in two or more foreign languages. The previous study provided the result of 7%. The test is carried out using data from a random sample of n = 72. In this sample, the number of students who speak two or more foreign languages is 10. Complete an appropriate hypothesis test with α = 0.05 and make a conclusion using the output from the Shiny app "Exact Binomial Test for One Proportion".
A) The proportion of students who speak two or more foreign languages has certainly remained the same.
B) There is convincing evidence that the proportion of students who speak two or more foreign languages has decreased.
C) There is no convincing evidence that the proportion of students who speak two or more foreign languages has increased.
D) There is convincing evidence that the proportion of students who speak two or more foreign languages has increased.
E) The sample is too small to make a conclusion.

Question

The university conducts a study designed to find out the proportion of students who have conversational fluency in two or more foreign languages. The previous study provided the result of 7%. The test is carried out using data from a random sample of n = 72. In this sample, the number of students who speak two or more foreign languages is 10. Complete an appropriate hypothesis test with α = 0.05 and make a conclusion using the output from the Shiny app "Exact Binomial Test for One Proportion". ​  ​
A) The proportion of students who speak two or more foreign languages has certainly remained the same. 
B) There is convincing evidence that the proportion of students who speak two or more foreign languages has decreased. 
C) There is no convincing evidence that the proportion of students who speak two or more foreign languages has increased. 
D) There is convincing evidence that the proportion of students who speak two or more foreign languages has increased. 
E) The sample is too small to make a conclusion.

Quizplus · Accepted Answer

The Answer of The university conducts a study designed to find out the proportion of students who have conversational fluency in two or more foreign languages. The previous study provided the result of 7%. The test is carried out using data from a random sample of n = 72. In this sample, the number of students who speak two or more foreign languages is 10. Complete an appropriate hypothesis test with α = 0.05 and make a conclusion using the output from the Shiny app "Exact Binomial Test for One Proportion". ​  ​
A) The proportion of students who speak two or more foreign languages has certainly remained the same. 
B) There is convincing evidence that the proportion of students who speak two or more foreign languages has decreased. 
C) There is no convincing evidence that the proportion of students who speak two or more foreign languages has increased. 
D) There is convincing evidence that the proportion of students who speak two or more foreign languages has increased. 
E) The sample is too small to make a conclusion.

The University Conducts a Study Designed to Find Out the Proportion