Returning to a previously described scenario: Suppose that a scientist is interested in determining if the proportion of females who prefer Diet Coke to regular Coke is different from the proportion of males who prefer Diet Coke to regular Coke. They randomly sample 219 people and ask them if they prefer Diet Coke to regular Coke, and also record if they are a male or a female. Their study results in the following table: males females total sample size 112 107 219 number of successes 56 73 129 sample proportion 0.50 0.68 0.59 What differences in sample proportions would be considered “as or more unusual” if the null hypothesis is true (i.e. further away from the hypothesized difference than the observed difference is from the hypothesized difference)? To be clear we are referring to absolute difference regardless of if it is negative or positive. Differences greater than 0.18 Differences greater than 0 Differences between 0.18 and 0.5 Differences less than 0.18
Returning to a previously described scenario: Suppose that a scientist is interested in determining if the proportion of females who prefer Diet Coke to regular Coke is different from the proportion of males who prefer Diet Coke to regular Coke. They randomly sample 219 people and ask them if they prefer Diet Coke to regular Coke, and also record if they are a male or a female. Their study results in the following table:
|
|
males |
females |
total |
|
sample size |
112 |
107 |
219 |
|
number of successes |
56 |
73 |
129 |
|
sample proportion |
0.50 |
0.68 |
0.59 |
What differences in sample proportions would be considered “as or more unusual” if the null hypothesis is true (i.e. further away from the hypothesized difference than the observed difference is from the hypothesized difference)? To be clear we are referring to absolute difference regardless of if it is negative or positive.
Differences greater than 0.18
Differences greater than 0
Differences between 0.18 and 0.5
Differences less than 0.18
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