A. A two-tailed test of hypothesis was conducted and 60 values were above the me
ID: 3219120 • Letter: A
Question
A.
A two-tailed test of hypothesis was conducted and 60 values were above the median. The computed z = 1.90. At the 0.05 level, what is the decision regarding the null hypothesis?
a.Reject the null hypothesis with a 0.05 Type I error rate.
b.Fail to reject the null hypothesis.
c.Reject the null hypothesis with a 0.025 Type I error rate.
d.None of these.
*please choose the correct answer*
B.
What is the test statistic for the sign test if the sample size is large?
a.Chi-square
b.Standard normal z
c.Binomial
d.Wilcoxon signed-rank
*please choose 1 correct answer*
C
Twenty-five college seniors were given two brands of organic hamburgers to sample: Burger A and Burger B. Four students preferred Burger A and 21 preferred Burger B. A statistician wants to determine if one of the burgers is preferred over the other.
In order to test the null hypothesis, which of the following probability distributions is used?
a.Poisson
b.Chi-square
c.Standard normal
d.Binomial
*please check 1 correct answer*
Explanation / Answer
A) A two-tailed test of hypothesis was conducted and 60 values were above the median. The computed z = 1.90.
b.Fail to reject the null hypothesis.
Since p value of the test at z = 1.90 is 0.0574, which is greater than significance level, hence we have to accpet the null hypothesis.
B) The test statistic for the sign test if the sample size is large standard normal z
the test statistic for sign is expected to follow a binomial distribution, the standard binomial test is used to calculate significance. The normal approximation to the binomial distribution can be used for large sample sizes, m > 25.
C) Standard normal.
We can not use chi square test, the expected frequency count for each cell of the table should be atleast 5.
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