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On Twitter (a social media platform), there is a friendly debate over what the ‘best’ programming...

On Twitter (a social media platform), there is a friendly debate over what the ‘best’ programming language is for data analysis. Two of the dominant languages that battle back and forth for ease of use are Python and R. To get to the bottom of which of these two languages have a higher ranking for ease of use, a Twitter user created a survey that collected data from post-secondary school students who had taken one course in either Python, or, R (but not both). The survey asked the students to rank the programming language they learned in terms of ease of use on a Likert-style scale from 1 (extremely difficult) to 5 (extremely easy); a value of 3 was interpreted as neutral.

The survey creator separated the data into a sample from students who learned Python, and a sample who learned R. She computed the proportion from each sample who ranked the programming language as 4 or 5 (i.e. who found the program easy to some degree), and conducted a hypothesis test for the claim that there is no difference in proportion of students who find the programs they learned easy to learn when comparing Python students to R students. She obtained a P-value for the hypothesis test of 0.073 (assume that the model for the hypothesis test used was valid). On Twitter, she made the following statement about her results, “The probability that there is no difference between the proportion of students who think Python vs. R are easy to use is 0.073.

As a knowledgeable student of statistics, which of the following statements about the Twitter user’s statement of her results is correct?

Input an uppercase/capital letter X into the box next to the option you wish to select as your answer to this question. Leave all other boxes empty for this question.

A.

The Twitter user’s statement is incorrect: the hypothesis test results provide a probability of getting an unusual sample statistic if there is no difference in the populations, not that there is no difference.

B.

The Twitter user’s statement is incorrect: the hypothesis test results provide a probability that the null hypothesis is incorrect, not that the null hypothesis is correct.

C.

The Twitter user’s statement is incorrect: the hypothesis test results provide a probability that the sample statistic is equal to the population parameter, not that there is no difference.

D.

The Twitter user’s statement is incorrect: the hypothesis test results provide a probability that the alternative hypothesis is correct, not that the null hypothesis is correct.

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Answer #1


The Twitter user’s statement is incorrect: the hypothesis test results provide a probability that the sample statistic is equal to the population parameter, not that there is no difference.

option (c)

...................


THANKS

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