4You are asked to perform a hypothesis test that population proportion is at least, or no less than, 0.75. Which of the following is the correct statement of the null and alternative hypotheses for this test? aH₀: π >0.75H₁: π ≤0.75bH₀: π ≥0.75H₁: π <0.75cH₀: π <0.75H₁: π ≥0.75dH₀: π ≤0.75H₁: π >0.75

You are asked to perform a hypothesis test that population proportion is at least, or no less than,…

Answered: You are asked to perform a hypothesis…

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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A hypothesis test for whether the proportion of men who talk more than text on their cell-phones is different than that of women produces a p.value of 0.23. This value.. a. is not small enough to reject then null hypothesis that the proportions are the same. b. is small enough to reject the null-hypothesis that the proportions are the same. c. is not large enough to reject the null hypothesis that the proportions are the same. d. is large enough to reject the null-hypothesis that the proportions are the same.
Who will you vote for? A simple random sample of 1500 voters were surveyed and asked whether they were planning to vote for the incumbent mayor for re-election. Seven hundred ninety-eight of them replied that they were planning to vote for the mayor. The mayor claims that more than half of all voters are planning to vote for her. To test this claim, a test of the hypotheses H0: p = 0.5 versus H1: p > 0.5 is performed. a. Show that the P-value is 0.007. b. The P-value is very small, so H0 is rejected. A pollster claims that because the P-value is very small, we can be fairly certain that the population proportion p is greater than 0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the P-value?
The following hypothesis test is to be conducted. Ho: Median ≤ 190 H₂: Median > 190 A sample of 30 provided 22 observations greater than 190, 3 observations equal to 190, and 5 observations less than 190. Use α = 0.01. Find the value of the test statistic. (Round your answer to two decimal places.) z = 2.56 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0052 X What is your conclusion? Reject Ho. The population median is less than or equal to 190. Do not reject Ho. The population median is less than or equal to 190. Reject Ho. The population median is greater than 190. Do not reject Ho. The population median is greater than 190.
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a	H₀: π >	0.75	H₁: π ≤	0.75
b	H₀: π ≥	0.75	H₁: π <	0.75
c	H₀: π <	0.75	H₁: π ≥	0.75
d	H₀: π ≤	0.75	H₁: π >	0.75