Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sampl...
Let π1 represent the population proportion of U.S. Senate and Congress (House of Representatives) Democrats who are in favor of a new modest tax on "junk food". Let π2 represent the population proportion of U.S. Senate and Congress (House of Representative) Republicans who are in favor of a new modest tax on "junk food". Out of the 275 Democratic senators and congressmen 82 of them are in favor of a "junk food" tax. Out of the 285 Republican senators and...
Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 449 of the 675 Republicans surveyed display the flag on the Fourth of July and 424 of the 714 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for the difference between two independent population...
Based on information from a previous study, r = 34 people out of a random sample of n = 101 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 101 adult Americans who did attend college, '2 = 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend...
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community 90 Type of Household Married with children Married, no children Single parent One person Other (e.g., roommates, siblings) Percent of U.S. Households 26% 29% 9% 25% 11% 126 28 100 67 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 14.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.No, the x distribution is skewed left. No, the x distribution...
Random samples were drawn from three independent populations. The results are shown in the accompanying table. Use Table 3. Sample 1 12 95 115 110 9 Sample 2 10 85 105 80 75 90 Sample 3 72 65 10 76 66 55 a. Specify the competing hypotheses to test whether some differences exist between the medians. He: m-23HA: Not all population medians are equal. оне: m1 Z m2 m3; MA: All population medians are equal. He: m 2 3 HA:...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left. No, the...
The following table shows the Myers-Briggs personality preferences for a random sample of 409 people in the listed professions Occupation Clergy (all denominations) M.D Lawyer Column Total Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.10 level of significance. Depending on the P-value, will you reject or fail to reject the null hypothesis of independence? ntroverted Total 108 164 137 191 18 Select one o a. Since the P value is...
Would you favor spending more federal tax money on the arts? Of a random sample of n = 93 politically conservative voters, 1 = 17 responded yes. Another random sample of n2 = 78 politically moderate voters showed that r2 - 22 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use a = 0.05....
For a random sample of 36 data pairs, the sample mean of the differences was 0.72. The sample standard deviation of the differences was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. (a) Is it appropriate to use a Student's t distribution for the sample test statistic? Explain. No, the sample size is not larger than 30. Yes, the sample size is larger than 30. No, the...