Answer:
C. One can reject the claim that the degree of synchronization will be equal in the two populations because the p level is 0011. This means that in 1000 trials, this result will occur approximately 11 times, which is statistically significant
steps
question basically says :
1. women who live together, like sisters, usually have their periods at the same time
2. special test showed that this happens more often than what we would expect by chance
t score of & p level for the difference between the menstrual cycles of sisters who do & dont live together to see if they get their periods at the same because of reasons other than just it being a coincidence or is it because they live together
Hypothesis Test Result Explanation
Sisters' Period Synchronization Study
Synchronization Study: T-Test Explanation
answer
In this study, researchers were interested in investigating whether the menstrual cycles of women who live together, such as sisters, tend to become synchronized. To analyze their data statistically, they compared synchronization scores between pairs of sisters living together to the degree of synchronization that would be expected by chance.
The synchronization scores reflect the level of synchronization between the menstrual cycles of the sister pairs. Lower scores indicate a higher degree of synchronization, meaning that the menstrual cycles of the sisters are more likely to align.
To determine whether the observed synchronization scores differed significantly from what would be expected by chance, the researchers used a statistical test called a t-test. The t-test allows researchers to compare two sets of data and determine if the difference between them is statistically significant.
In this case, the researchers compared the synchronization scores of roommate sister pairs in their sample to an expected synchronization score. The expected synchronization score represents what would be expected if there were no real synchronization between the menstrual cycles of the sisters.
The researchers reported a t-score and a p-value for this difference. The t-score is a measure of how much the observed synchronization scores deviate from the expected synchronization scores, taking into account the variability within the sample. The p-value represents the probability of obtaining such a difference between the observed and expected synchronization scores by chance alone.
Without specific values provided for the t-score and p-value, I cannot provide an interpretation of the results. However, in general, if the t-score is large and the p-value is small (below a predetermined significance level, often 0.05), it suggests that the observed synchronization scores are significantly different from what would be expected by chance. This would indicate that there is likely a real synchronization between the menstrual cycles of the sisters living together.
It's important to note that this explanation assumes familiarity with hypothesis testing using a known population variance, which involves comparing sample means. The t-test for a single sample, on the other hand, compares a sample mean to a known population mean when the population standard deviation is unknown.
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