From previous studies, it is concluded that 50% of phone numbers in a certain city are unlisted. Aresearcher claims that the proportion is smaller than 50% and decides to survey 300 working adults.Test the researcher's claim at the a = : 0.10 significance level.Preliminary:a. Is it safe to assume that n ≤ 0.05 of all subjects in the population?Ο NoYesb. Verify np(1 - p) ≥ 10. Round your answer to one decimal place.np(1 − p) ==Test the claim:a. The null and alternative hypotheses areHo: p = 0.5Ha:p = 0.5=0.5Ο Ηo:μHa: μ + 0.5Ho:μ < 0.5Ha: μ > 0.5Ho:p> 0.5Ha:p < 0.5O Ho: p ≤ 0.5Ha:p> 0.5Ο Ηo : μ 2 0.5Ha: μ < 0.5:μ< b. The test isSelect an answer ✓c. Based on the sample of 300 people, 46% phone numbers in a certain city are unlisted. What isthe test statistic? Round your answer to two decimal places.?d. What is the p-value? Round your answer to four decimal places.e. Make a decision.Do not reject the null hypothesis.O Reject the null hypothesis.f. Make a conclusion.O There is not sufficient evidence that the proportion of people who phone numbers in acertain city are unlisted is smaller than 50% at the a = 0.10 significance level.O There is sufficient evidence that the proportion of people who phone numbers in acertain city are unlisted is smaller than 50% at the a 0.10 significance level.-

From the provided information, Sample size (n) = 300 Population proportion (p) = 0.50 Level of…

Answered: From previous studies, it is concluded…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 300 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O D. Ho: P₁ #P₂ H₁: P₁ = P2 Identify the test statistic. z=0 Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a = 0.01, so…
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