The manufacturer of FleaBiter, a flea-control product for dogs, claims that Flea
ID: 3153462 • Letter: T
Question
The manufacturer of FleaBiter, a flea-control product for dogs, claims that FleaBiter is more effective than a competitor's product. To test this, the Food and Drug Administration formulates the alternative hypothesis as:
a. The mean number of fleas on dogs using FleaBiter is greater than the mean number of fleas on dogs using the competitor's product
b. The mean number of fleas on dogs using FleaBiter is less than the mean number of fleas on dogs using the competitor's product
c. The mean number of fleas on dogs using FleaBiter is less than or equal to the mean numberr of fleas on dogs using the competitor's product
d. The mean number of fleas on dogs using FleaBiter is equal to the mean number of fleas on dogs using the competitor's product.
The Food and Drug Administration commits a Type II error if it concludes that:
a. the manufacturer's claim is incorrect when it is actually correct
b. The manufacturer's claim is supported wth it is actually correct
Suppose tat the Food and Drug Administration conducts the hypothesis test and uses the value of the test statistic to compute a p-value for the test. The p-value is 0.06. Using the guidelines suggested by statisticians for interpreting small p-values, the sample data provide ___________ evidence against the null hypothesis.
a. Weak
b. Overwhelming
c. Strong
d. Insufficient
Explanation / Answer
Answer to part a)
Since the company claims that its product is better this implies number of bites is less than the competitors products
hence the correct answer choice is B
.
Answer to part b)
Type II error implies , That the claim is true , but we end up reject the alternate hypothesis
thus if type II error is ommitted this implies the claim is considered to be incorrect when actually it is correct
hence answer choice A is correct
.
Answer to part c)
Since the P value 0.06 > significance level 0.05 , we fail to reject the null
thus there is Insufficient evidence to support the claim
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