Question

A video game claims that the drop rate for a certain item is 5% according to the game publisher. In online forums, a number of players are complaining that the drop rate seems to be low. In order to test the drop rate claim, 100 players agree to attempt to get the drop, each attempting 10 ×. Of the 1000 tries, the item only drops 40 × Using the approximate test, find a p-value associated with this claim: Using the exact test, find a p-value associated with this claim:

a) 0.002
b) 0.005
c) 0.01
d) 0.05

Answer 1

The p-value determines whether to reject the null hypothesis about the video game's item drop rate. It compares the observed drop rate against the claimed 5% rate. the approach depends on whether an exact or approximate test is used.

Step-by-step explanation:

The student is asked to determine the p-value for the hypothesis test of the video game item's drop rate claim using both an approximate and an exact test. Given a claimed drop rate by the game publisher of 5%, 100 players each attempt to get the drop 10 times for a total of 1000 tries, resulting in only 40 successful drops. using the provided probability statements and comparisons, no specific values for this scenario's p-value are given; however, we can discuss the conceptual approach to determining the p-value in this context. The p-value is a probability measure of observing the collected data, or something more extreme, assuming the null hypothesis (the claim) is true. An exact test (like a binomial test) or an approximate test (like a normal approximation to the binomial) could be used depending on the sample size and expected frequencies.

This decision rule allows us to conclude if the actual drop rate is statistically lower than the claimed 5%, backing the suspicions of the players in the online forums.