Suppose a poll was taken of 1000 randomly selected voters and the results showed that 53% support Congress’ Jobs Creation Bill. You want to test the hypothesis that the majority of likely voters support Congress’ Bill; in other words to test the hypothesis H0: π ≤ 0.50 versus H1 : π > 0.50, at .01 level of significance. What is (are) the critical value(s) for the test? Choose the best answer.
Select one:
±2.575
2.33
±2.33
1.96
1.645
Solution:
Given that,
This is right tail test,
= 0.01
Z
= Z0.01 = 2.33
Critical Value = 2.33
Suppose a poll was taken of 1000 randomly selected voters and the results showed that 53%...
Suppose a poll was taken of 1000 randomly selected voters and the results showed that 53% support Congress’ Jobs Creation Bill. You want to test the hypothesis that the majority of likely voters support Congress’ Bill; in other words to test the hypothesis H0: π ≤ 0.50 versus H1: π > 0.50. If the p-value is .0575, then at 0.05 level of significance, your conclusion is: Select one: There is no evidence that likely voters support Congress’ Jobs Creation Bill....
One month before an election, a poll of 660 randomly selected voters showed 57 % planning to vote for a certain candidate. A week later it became known that he had once nbsptried nbspan illegal drug, and a new poll showed only 54% of 1080 voters supporting him. Do these results indicate a decrease in voter support for his candidacy? a) Test an appropriate hypothesis and state your conclusion. b) If you concluded there was a difference, estimate that difference...
_ 9) In a sample of 10 randomly selected women, it was found that their mean height was 634 inches. From previous studies, it is assumed that the standard deviation, , 124 inches and that the population of height measurements is normally distributed a) Construct the confidence interval for the population mean height of women b) If the sample size was doubled to 20 women, what will be the effect on the confidence interval? 10) 10) The numbers of advertisements...
A recent survey of 500 men and 500 women showed that 37% of men owned guns and 31% of women owned guns. What is the hypothesis test for whether gun ownership is greater for men, where a. H0:D≠0;HA:D=0H0:D≠0;HA:D=0 b. H0:D≥0;HA:D<0H0:D≥0;HA:D<0 c. H0:D=0;HA:D≠0H0:D=0;HA:D≠0 Using the sample sizes and sample proportions above what is the value of the test statistic for the hypothesis test? a. -1.534 b. .0299 c. 2.007 d. 1.645 Assume the test statistic was found to be 2.21, what...
A sample of 114 mortgages approved during the current year showed that 37 were issued to a single-earner family or individual. The historical percentage is 29 percent. At the .05 level of significance in a right-tailed test, has the percentage of single-earner or individual mortgages risen? (a-1) H0: π ≤ .29 versus H1: π > .29. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 (a-2) Calculate the test statistic. (Round intermediate calculations...
A poll of 2,142 randomly selected adults showed that 92% of them own cell phones. The technology display below results from a test of the claim that 91% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). Test of p=0.91 vs p≠0.91 Sample X N Sample p 95% CI Z-Value P-Value 1 1970 2,142 0.919701 (0.908193,0.931210) 1.57 0.117 a. Is the...
Chapter Exercise 9-86 A sample of 103 mortgages approved during the current year showed that 45 were issued to a single-earner family or individual. The historical percentage is 37 percent. At the .05 level of significance in a right-tailed test, has the percentage of single-earner or individual mortgages risen? (a-1) H0: π ≤ .37 versus H1: π > .37. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b (a-2) Calculate the...
Suppose you want to test the claim that µ1 < µ2. Two samples
are randomly selected from each population. The sample statistics
are given below. At a level of significance of α = 0.05, when
should you reject H0?
n1 = 35
n2 = 42
x̅1 = 29.05 x̅2 =
31.6
s1 =
2.9
s2 = 2.8
Suppose you want to test the claim that u1<p2. Two samples are randomly selected from each population. The sample statistics are given...
a poll of 2094 randomly selected adults showed that 94% of
them own cell phones
A poll of 2,094 randomly selected adults showed that 94% of them own cell phones. The technology display below results from a test of the claim that 92% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.01 significance level to complete parts (a) through (e). Test of p = 0.92 vs p*0.92 Samplex N...
A poll of 2,084 randomly selected adults showed that 94% of them own cell phones. The technology display below ret from a test of the claim that 92% of adults own cell phones. Use the normal distribution as an approximation to the bin distribution, and assume a 0.01 significance level to complete parts (a) through (e). Test of p = 0.92 vs p+0.92 Z-Value P-value Sample p 95% CI N Sample X 0.000 4.01 (0.930869,0.956847) 1 1967 2,084 0.943858 a....