Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies: x1 = 46, n1 = 100, x2 = 36, n2 = 100, α = .05, two-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.) p1 p2 zcalc p-value zα/2 +/- (a-2) Choose the appropriate hypotheses. a. H0:π1 – π2 = 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc < –1.96 or zcalc > 1.96 b. H0:π1 – π2 = 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc > –1.96 or zcalc < 1.96 a b (a-3) Based on the data reject H0. False True (b-1) Rooms rented at least a week in advance at two hotels: x1 = 30, n1 = 200, x2 = 18, n2 = 50, α = .01, left-tailed test. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign. Use Excel to calculate the p-value.) p1 p2 zcalc p-value zα (b-2) Choose the appropriate hypotheses. a. H0:π1 – π2 ≥ 0 vs. H0:π1 – π2 < 0. Reject H0 if zcalc > 2.3263 b. H0:π1 – π2 ≥ 0 vs. H0:π1 – π2 < 0. Reject H0 if zcalc < –2.3263 a b (b-2) Based on the data reject H0. True False (c-1) Home equity loan default rates in two banks: x1 = 42, n1 = 480, x2 = 32, n2 = 520, α = .05, right-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.) p1 p2 zcalc p-value zα (c-2) Choose the appropriate hypotheses. a. H0:π1 – π2 ≤ 0 vs. H1:π1 – π2 > 0. Reject H0 if zcalc > 1.645 b. H1:π1 – π2 ≤ 0 vs. H1:π1 – π2 > 0. Reject H0 if zcalc < 1.645 a b (c-3) Based on the data reject H0. True False
1. From the given data
Correct answer: Reject H0 if zcalc < –1.96 or zcalc > 1.96
Here P-value is > alpha 0.05 so we accept H0
Thus we conclude that :π1 – π2 = 0
2. Correct answer: Reject H0 if zcalc < –2.3263
From the given data
Here P-value = 0.0004 < alpha 0.01 so we reject H0
thus we conclude that π1 – π2 < 0.
3.
Correct answer: Reject H0 if zcalc > 1.645
Here P-value > alpha 0.05 so we reject H0 i.e. π1 – π2 > 0
Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies:...
Find the sample proportions and test statistic for equal proportions. (a-1) Dissatisfied workers in two companies: x1 = 46, n1 = 100, x2 = 36, n2 = 100, α = .05, two-tailed test. (Round your answers to 4 decimal places. Use Excel to calculate the p-value.) p1 p2 zcalc p-value zα/2 +/- (a-2) Choose the appropriate hypotheses. a. H0:π1 – π2= 0 vs. H1:π1 – π2 ≠ 0. Reject H0 if zcalc < –1.96 or zcalc...
Find the sample proportions and test statistic for equal proportions. 100, X, = 36. n. 100. 05. two-tailed test. (Round your answers to 4 (a-1) Dissatisfied workers in two companies: X, 46, n, decimal places. Use Excel to calculate the p-value.) Heale p-value a/2 (a-2) Choose the appropriate hypotheses a. Ho:77 - - Ovs. Hy: -1 0. Reject Ho if Zeale < -1.96 or cale > 1.96 b. Hein - 1 Ovs. Hy:n - 1 0. Reject Ho if Zeale...
Question 4 (of 5) 10.00 points Find the sample proportions and test statistic for equal proportions (a-1) Dissatisfied workers in two companies 저 Ⅱ 38, n1 100, x2 :28, n2 : 100, a = 05, two-tailed test Round your answers to 4 decimal places. Use Excel to calculate the p-value.) pt P2 p value 702 (a-2) Choose the appropriate hypotheses a 3) Based on the dala soject Ho True False 0-14-4xs AStat 1 Exam 1 Re.docx 4 Stat il Exam...
Conduct the following test at the α = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=30, n1=254, x2=36, and n2=302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: p1=0 versus H1: p1=0 B. H0: p1=p2 versus H1: p1<p2 C. H0: p1=p2 versus H1: p1>p2...
In a test for the difference between two proportions, the sample sizes were n1=68 and n2=76 , and the numbers of successes in each sample were x1=41 and x2=25 . A test is made of the hypothesis Ho:p1=p2 versus H1:P1>p2 are the assumptions satisfied in order to do this test?Explain. B) Find the test statistics value C) Can you reject the null hypothesis at the a=0.01 significance level? Use Ti-84 for calculations please.
Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table) H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 250 x2 = 275 n1 = 400 n2 = 400 a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal...
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The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on average. Response times are normally distributed with a standard deviation of 1 minute 6 seconds. Would a sample of 18 fire calls with a mean response time of 5 minutes 11 seconds provide sufficient evidence to show that the goal is not being met at α = .01? (a) Choose the appropriate hypotheses. a. H0: µ ≤ 5 min vs H1: µ...
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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...