In order to test the fairness of a random number generator, a set of 300 numbers is chosen from the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. A tally table for each of the outcomes is prepared. What would the expected value for the occurrence of a seven be?
1.4.5
2.10
3.7
4.30
Q. 2Which of the following situations will add the largest component to a X2 statistic?
1.an expected value of 200 and an observed value of 190
2.an expected value of 10 and an observed value of 7
Q. 3A local newspaper asked each person in a random sample of 44 subscribers which section of the paper he or she read first. The resulting data are shown in the accompanying table.
A chi-square test is to be performed to determine if the data provides evidence that the proportions choosing each of the sections are not the same. If the null hypothesis is that there is no difference in the proportions, what is the expected frequency of those who read the Business section first?
1.8
2.44
3.11
4.4
5.There is not enough information to determine the expected frequency.
Q. 4Does including a gift with a request for a donation influence the proportion who will make a donation? This question was investigated in a recent study. Letters were sent to a large number of potential donors in Japan. The letter requested a donation for funding schools in Mali. The letter recipients were assigned at random to one of three groups. Those in the first group received a letter with no gift. Those in the second group received a letter that included a small gift (a postcard), and those in the third group received a letter with a larger gift (four postcards). The response of interest was whether or not the letter resulted in a donation.
We wish to perform a hypothesis test to determine if there is convincing evidence that the proportions for the two donation categories are not the same for all three types of requests. What is the value of the test statistic for this test?
1.12.388
2.5.207
3.9.502
4.11.411
5.14.141
Q. 5Use a calculator to determine which of the following combinations of X2 and df has a P-value of 0.130.
1. X2 = 34.52, df = 13
2. X2 = 39.25, df = 16
3. X2 = 26.00, df = 19
4. X2 = 14.44, df = 6
5. X2 = 32.32, df = 20
Q. 6What is the approximate P-value for X2 = 11.64 and df = 5?
1.0.095
2.0.020
3.0.057
4.0.088
5.0.040
Q. 7The chi-squared test statistic for testing independence in a two-way table has rc - 1 degrees of freedom.
1.True
2.False
Q. 8The expected cell count for the row a and column b entry in a bivariate contingency table is equal to the product of the row a and column b marginal totals.
1.True
2.False
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