1) In studying the occurrence of genetic characteristics, the following sample data were
1)obtained. At the 0.05 significance level, test the claim that the characteristics occur with the same frequency.
Characteristic | A B C D E F |
Frequency | 28 30 45 48 38 39 |
2) A company manager wishes to test a union leader's claim that absences occur on the
2) different weekdays with the same frequencies. Test this claim at the 0.05 level of significance if the following
sample data have been compiled.
Day | Mon Tue Wed Thur Fri |
Absences | 37 15 12 23 43 |
3). Using the data below and a 0.05 significance level, test the claim that the responses occur
3) with percentages of 15%, 20%, 25%, 25%, and 15% respectively
Response | A B C D E |
Frequency | 12 15 16 18 19 |
4). You roll a die 48 times with the following results
Number | 1 | 2 | 3 | 4 | 5 | 6 |
Frequency | 4 | 13 | 2 | 14 | 13 | 2 |
Use a significance level of 0.05 to test the claim that the die is fair.
1) Tests for adverse reactions to a new drug yielded the results given in the table. At the 0.05 5) significance level, test the claim that the treatment (drug or placebo) is independent of the action (whether or not headaches were experienced).
Drug Placebo | |
Headaches | 11 7 |
No headaches | 73 91 |
6) 160 students who were majoring in either math or English were asked a test question, and the 6) researcher recorded whether they answered the question correctly. The sample results are given below. At the 0.10 significance level, test the claim that response and major are independent. | |
Correct Incorrect | |
Math | 27 53 |
English | 43 37 |
7) The table below shows the age and favorite type of music of 668 randomly selected people.
Rock Pop Classical | |||
15-25 | 50 | 85 | 73 |
25-35 | 68 | 91 | 60 |
35-45 | 90 | 74 | 77 |
Use a 5 percent level of significance to test the null hypothesis that age and preferred music types are independent.
8) At a high school debate the tournament, half of the teams were asked to wear suits and ties
8) the rest were asked to wear jeans and t-shirts. The results are given in the table below. Test the hypothesis at the 0.05 level that the proportion of wins is the same for teams wearing suits as for teams wearing jeans.
Win Loss | |
Suit | 22 28 |
T-shirt | 28 22 |
9) A researcher wishes to test the effectiveness of flu vaccination. 150 people are vaccinated, 9) 180 people are vaccinated with a placebo, and 100 people are not vaccinated. The number in each group who later caught the flu was recorded. The results are shown below.
Vaccinated Placebo Control | |||
Caught the flu | 8 | 19 | 21 |
Did not catch the flu | 142 | 161 | 79 |
Use a 0.05 significance level to test the claim that the proportion of people catching the flu is the same in all three groups
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