Two Gourmets, a and B, Rated 22 Meals on a Scale

Short Answer

Two gourmets, A and B, rated 22 meals on a scale of 1 to 10. The data are shown in the table. Do the data provide sufficient evidence to indicate that one of the gourmets tends to give higher ratings than the other? Test by using the sign test with a value of near 0.05.
The null and alternate hypotheses are as follows: Critical Value approach:
What is the test statistic?
______________
Use the binomial tables to find the exact rejection region for the test.
Reject if x ______________ or x ______________
Conclude:
______________
There ______________ enough evidence to indicate a difference between the two gourmets.
p-value approach:
Test Statistic:
______________
p-value = ______________
Conclude:
______________
There is ______________ enough evidence to indicate a difference between the two gourmets.
Use the large-sample z statistic for testing. (NOTE: Although the large-sample Approximation is suggested for 25, it works fairly well for values of n as small as 15.)
The large sample z-statistic is:
______________
The two-tailed rejection region is |z| > ______________.
Conclude:
______________
There is ______________ enough evidence to indicate a difference between the two gourmets.
Compare the results of the two tests.
The two tests give ______________ results.