A convenience store owner believes that the median number of lottery tickets sol

Question

A convenience store owner believes that the median number of lottery tickets sold per day is 44. A random sample of 20 days yields the data below. Performa Sign test to test the owner's claim.Use = 0.05.

27        43       54       59       26       50       65       22       28       33
42        49       49       39       39       44       44       54       49       33

Identify why you choose to perform the statistical test (Sign test, Wilcoxon test, Kruskal-Wallis test).

Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.

Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

Find the critical value(s) and identify the rejection region(s).

Find the appropriate standardized test statistic. If convenient, use technology.

Decide whether to reject or fail to reject the null hypothesis.

Interpret the decision in the context of the original claim

Explanation / Answer

We use Kolmogorvs smirnov test (test for single median)

b) H0: Median=44

H1: Median not equals to 44

c) It is two tailed test

d) From SPPS

Tet statistic Z=0.505

Conculsion:

P value=0.960 > 0.05 we accept the null hypothesis

One-Sample Kolmogorov-Smirnov Test X N 20 Normal Parametersa,b Mean 42.4500 Std. Deviation 11.65050 Most Extreme Differences Absolute .113 Positive .093 Negative -.113 Kolmogorov-Smirnov Z .505 Asymp. Sig. (2-tailed) .960 a. Test distribution is Normal. b. Calculated from data.

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