Ho: P = 0.20H₂: P = 0.20A sample of 400 provided a sample proportion p = 0.175.(a) Compute the value of the test statistic. (Round your answer to two decimal places.)(b) What is the p-value? (Round your answer to four decimal places.)p-value =(c) At a = 0.05, what is your conclusion?O Reject Ho. There is insufficient evidence to conclude that p = 0.20.O Do not reject Ho. There is insufficient evidence to conclude that p = 0.20.O Do not reject Ho. There is sufficient evidence to conclude that p = 0.20.Reject Ho. There is sufficient evidence to conclude that p = 0.20.(d) What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic <test statistic >What is your conclusion?O Reject Ho. There is insufficient evidence to conclude that p = 0.20.O Do not reject Ho. There is insufficient evidence to conclude that p = 0.20.O Do not reject Ho. There is sufficient evidence to conclude that p = 0.20.O Reject Ho.There is sufficient evidence to conclude that p = 0.20.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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0.499 (0.500) How do i know if its statistically significant ? how should i calculate the p value ? is it 0.499/0.500 or 0.500/0.499 ?
According to shopper data, 97% of households purchase toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. Do these data provide convincing statistical evidence at the α = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97? Complete the “State” step for this test. H0: p = Ha: p where p = the true proportion of all that .
Pregnancy In 1998 a San Diego reproductive clinicreported 42 live births to 157 women under the age of 38,but only 7 successes for 89 clients aged 38 and older. Isthis evidence of a difference in the effectiveness of theclinic’s methods for older women? a) Test the appropriate hypotheses, using the two-proportion z-procedure. b) Repeat the analysis, using an appropriate chi-squareprocedure.c) Explain how the two results are equivalent.
a survey is conducted to compare the proportions of men and women whoaccess their bank statements online. Denoting the population propotions by Pm and Pw, a two-proportion z-test is carried out to test Ho: pm = pw against Ha: pm > pw. The values of the test statistic is found to be z = 0.784, and the p-value for the test is found to be 0.216. Which of the following is the correct interpretation of the p-value? a) given that ha is true, the probability of getting a value of z at least as large as 0.784 is 0.216. b) given that ho is true, the probability of getting a value of z at least as large as 0.784 is 0.216. c) given the results of the survey, the probability that Pm > Pw is 0.216. d) given the results of the survey, the probability that Pm = Pw is 0.216. e) none of the above
You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.1. Your sample data produce the test statistic z=−1.75z=-1.75. Find the p-value accurate to 4 decimal places.
A publisher reports that 46% of their readers own a Jaguar. A marketing executive wants to test the claim that the percentage is actually more than the reported percentage. A random sample of 220 readers found that 50% of the readers owned a Jaguar. Is there sufficient evidence at the 0.05 level of significance to support the executive’s claim? H0: p = 0.46 Ha: p > 0.46 Determine the p-value. (Round to 3 decimal places) What is the correct decision for this test? What is your conclusion, in context? Explain your reasoning.
Studies indicate that about 10 percent of polar bears weigh more than 1,000 pounds. A biologist studying the bearsthinks that percent might be too high. From a random sample of polar bears, the biologist found only 8 percent ofthe sample weighing over 1,000 pounds. Which of the following is the most appropriate method for the biologist’sstudy?(A) A one-sample -test for a sample proportion(B) A one-sample -test for a population proportion(C) A one-sample -test for a difference in population proportions(D) A two-sample -test for a difference in sample proportions(E) A two-sample -test for a difference in population proportions

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