A streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now want

Question

2 months ago

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A streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now want

s to determine whether the number of unique listeners per day has changed. Before the change in format, the site averaged 131,520 unique listeners per day. Now, beginning three months after the format change, the site manager takes a random sample of 30 days and finds that the site has an average of 124,247 unique listeners per day. The manager finds that the p-value for the hypothesis test is approximately 0.0743. How would you interpret the p-value?

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-03-15T20:46:32+03:00

Answer:

Step-by-step explanation:

It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.

The hypothesis is set

$H_0: Mean 1- Mean 2 =0\\H_a: Mean 1 - Mean 2 \neq 0$

(A two-tailed test for mean difference)

The test statistic is calculated, and the p-value turns out to be 0.0743

Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05

Thus, we accept the null hypothesis.

i.e. there is no statistically significant alteration in the average number of daily unique listeners

The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.