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In: Statistics and Probability

Networking ~ A 2016 study conducted by LinkedIn found that 85% of all jobs are filled...

Networking ~ A 2016 study conducted by LinkedIn found that 85% of all jobs are filled via networking - the process of interacting with others to develop professional contacts. Marie is skeptical of this study, and believes that the actual percentage of jobs filled by networking is actually less than 85%. Marie randomly samples recently filled jobs and finds that 80% of them were filled by networking. She conducts a hypothesis test.

The p-value for the test is calculated to be 0.143.

Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretations.

Question 7 options:

This p-value suggests that based on this sample there is little evidence that the null model is not compatible with the data.

The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true.

The p-value is the probability that the null hypothesis is true.

If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null distribution.

This p-value suggests that based on this sample there is strong evidence that the null model is not compatible with the data.

The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true.

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