Based on the confidence interval constructed, we can conclude that there is statistically significant evidence that the proportion of dentists recommending Brand X toothpaste falls within the range of 0.761 to 0.787. This means that the true proportion of dentists recommending Brand X toothpaste may be different from the claimed 75%. Therefore, we can reject the claim that 75% of dentists recommend Brand X toothpaste.
The correct conclusion is: There is no statistically significant evidence that the proportion of dentists that recommend Brand X toothpaste is different from 75%.
An advertiser claims that 3 out of 4 dentists (75%) recommend Brand X toothpaste. A consumer group investigates the truth of this claim.
They survey a randomly selected sample of 4000 dentists, and find that 3095 of them recommend Brand X toothpaste.
Based on this survey, they construct a 95% confidence interval for the proportion of dentists that recommend Brand X toothpaste of (0.761,0.787).
What can be concluded from this survey?
There is statistically significant evidence that 75% of dentists recommend Brand X toothpaste.
There is statistically significant evidence that the proportion of dentists that recommend Brand X toothpaste is less than 75%.
There is statistically significant evidence that the proportion of dentists that recommend Brand X toothpaste is greater than 75%.
There is no statistically significant evidence that the proportion of dentists that recommend Brand X toothpaste is different from 75%.
Nothing can be concluded from this sample.
1 answer
3 answers