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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 10E

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Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Ho: p=0.88 versus H₁: p0.88
n=500, x=430, α = 0.05
-...
p= 0.86 (Type an integer or a decimal. Do not round.)
Find the test statistic Zo-
Zo=1.38 (Round to two decimal places as needed.)
Find the P-value.
P-value= (Round to three decimal places as needed.)
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use technology to find the P value. P value =_. (round to three decimal places as needed.) should one reject the null hypothesis? or should one not reject the null hypothesis?
(i) State the hypotheses, identify the claim with the correct hypothesis, and determine whether it is a one-tailed or two-tailed test. (ii) Find the P-value. Round the answer to at least four decimal places. (iii) Make the decision and summarize the results.
(i) State the hypotheses, identify the claim, and determine if the hypothesis test is one or two-tailed. (ii) Find the P-value. Round the answer to at least four decimal places. (iii) Make the decision.
a) Does this statement accurately represent Type II error? Failing to reject the Ho after a test statistic results in a p-value of .03 at α=0.05.b) Does this statement accurately represent Type 1 error? Rejecting the Ho after a test statistic results in a p-value of .30 at α=.05.
Conduct a test at the alphaαequals=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=120, n1=248, x2=133, and n2=302. (a) Choose the correct null and alternative hypotheses below. A. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 not equals p 2H1: p1≠p2 B. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 less than p 2H1: p1<p2 C. Upper H 0 : p 1 equals 0H0: p1=0 versus Upper H 1 : p 1 not equals 0H1: p1≠0 D. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 greater than p 2H1: p1>p2 Your answer is correct. (b) Determine the test statistic. z0equals=nothing (Round to two decimal places as needed.)
B. Calculate the P-value. P-value=____ C. What is the conclusion for this hypothesis test? Reject H0. or Fail to reject H0?
In doing a hypothesis test of the population proportion at α=0.02 level of significance, we got the p-value to be 0.006. What would our conclusion to the test be? Why? A. Do NOT Reject H0 since the p-value > α B. Reject H1 since the p-value < α C. Reject H0 since the p-value < α D. Do NOT Reject H0 since the p-value < α
Choose the correct answer When we perform a chi-square test for independence, the null hypothesis states that the two variables are a. independent b. related c. normally distributed d. mutually exclusive

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