friend espouses the belief that the typical tabloid magazine contains 4 pages of
ID: 3358534 • Letter: F
Question
friend espouses the belief that the typical tabloid magazine contains 4 pages of stories about Lindsay Lohan, and you wish to test the hypothesis that the true amount of Lohan coverage is different. A random sample of 12 tabloids reveals a mean of 5.2 with a standard deviation of 2. The test statistic for the hypothesis of a difference at alpha .05 is: a. 2.201 b. 0.600 C. 1.975 d. 2.078 e. None of the above 10. The critical value of T associated with the hypothesis test in the previous question is: a. 2.201 b. 2.078 c. 2.179 d. 1.960 e. None of the above 11. Which of the following is true of P-values? a. b. c. d. e. A P-value is the level of confidence associated with a hypothesis test. A P-value is the probability of falsely rejecting the null hypothesis given the data. A P-value is the exact probability of committing a type Il error. A P-value is the reciprocal of the test statistic. None of the above.Explanation / Answer
9
give that
n = 12
xbar = 5.2
sd =2
mu = 4
t stat is given as
t = (xbar-mu)/(sd/sqrt(n))
=(5.2-4)/(2/sqrt(12)) = 2.078 , hence D
10
degree of freedom
df = n-1 = 12-1 = 11 and alpha = 0.05 , from the t table we see the critical value as
t-value (two-tailed): +/- 2.2009
hence A
11
we know that p value is the type 1 error amd type 1 error is when we reject null hypothesis when we should not , hence the correct answer is B
Please remember
Type1 error is : when we REJECT null hypothesis , when we should not
Type2 error is : when we ACCEPT null hypothesis , when we should not
Keep this simple and you shall never be confused on Type1 and type2 error
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