The University Conducts a Study Designed to Find Out the Proportion

question 2

Multiple Choice

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.

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Definitions:

Product Markets

The venues or mediums where goods and services are bought and sold.

Standard Error

The standard deviation of the sampling distribution of a statistic, often estimating the precision of a sample mean relative to the population mean.

Individual Scores

The specific values or results obtained by individuals in a test or assessment, reflecting their performance or achievement.

T-statistic

A ratio that is derived from the standardized difference between two sample means divided by the standard error of the difference, used in hypothesis testing.