In Exercises 33–40, use the given probability value to determi...

Question

In Exercises 33–40, use the given probability value to determine whether the sample results are significant.

Selfie Deaths Based on Priceonomics data describing 49 deaths while taking selfies, it was found that 37 of those deaths were males. Assuming that males and females are equally likely to have selfie deaths, there is a 0.000235 probability of getting 37 or more males. Is the result of 37 males significantly low, significantly high, or neither? Does the result suggest that male selfie deaths are more likely than female selfie deaths?

Accepted Answer

Hello there. Today we're gonna solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. In a study involving 49 workplace injury reports, it was found that 37 of the injuries involved workers under the age of 35. Assuming that workers under and over 35 are equally likely to be involved in such incidents, the probability of getting 37 or more cases under age 35 by random chance is 0.000231. Is the outcome of 37 injuries among younger workers significantly low, significantly high, or neither? Does this suggest that younger workers are more likely to be injured on the job? Awesome. So it appears for this particular problem, we're asked to solve for two separate answers. So our end goal is we're trying to first determine whether or not the outcome of these 37 injuries among younger workers is considered either significantly low, significantly high, or neither. That's our first answer we're trying to solve for. And our second answer we're trying to solve for is we're trying to figure out, does this suggest that younger workers are more likely to be injured on the job. So, yes or no. Or any sort of explanation to why our first answer is either significantly low, significantly high, or neither. And when we determine that result, what does that answer suggest about younger workers? Are they more likely to be injured on the job? So now that we know what we're trying to solve for, let's read off our multiple choice answers to see what our final answer might be. A is significantly high, suggests younger workers are more likely to be injured. B is significantly low. Suggest younger workers are less likely to be injured. C is neither suggests injury is unrelated to H and D is cannot be determined from the data. Awesome. So, first off, in order to solve for this particular problem, we need to understand our given information for the probability. So we need to we need to note once again and recall a note that we're told that under 35 workers, like under the age of 35 workers that were involved in 37 out of 49 total injuries, and the probability of this result occurring randomly will be P of 37. Or more is going to be equal to, as we're told by the prom itself, 0.000231. Awesome. So the probability of 37 or more being injured is going to be 0.000, so 30231. Awesome. So now, our second step is we need to compare the significance level. So as we should recall a note, the conventional threshold for significance will be. And I'll write this in blue, 0.05. So once again, this 0.05 is our conventional threshold for significance. So with that said, we need to take our probability, which is 0.000. 231, and we need to note that it is less than 0.05. So since the probability that we are given by the problem itself is very small, that will mean as a result, That our result will be considered statistically significant. So with that said, our third step is we need to interpret the direction of our result. So as we should recall a note, there were far more younger workers injured than what would be expected by chance. So that will mean as a result, we will consider this to be significantly high. So I'll call this SH for significantly high for short. So our fourth step is we need to draw our final conclusions, so as we should recall a note, Yes, the data suggests that younger workers are more likely to be involved in workplace injuries. So that will mean, as a result, our final answer has to be significantly high, and it suggests that younger workers are more likely to be injured. So, significantly high. Higher is our final answer. So this means our final answer without a doubt has to be multiple choice answer letter A, which once again is significantly high, suggests younger workers are more likely to be injured, and that's it. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

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Key Concepts

Significance Level

Null Hypothesis

P-Value

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