Answered: . A study claims that all adults spend…

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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Question

1. A study claims that all adults spend an average of 14 hours or more on chores during a weekend. A researcher wanted to check if this claim is true. A random sample of 200 adults taken by this researcher showed that these adults spend an average of 14.45 hours on chores during a weekend. The population standard deviation is known to be 3.0 hours.

a)Find the p-value for the hypothesis test with the alternative hypothesis that all adults spend more than 14 hours on chores during a weekend. Interpret the meaning of p-value.

b)Find the critical value at α = 0.1 and the critical value at α = 0.05. Interpret the meaning of α.

c)Will you reject the null hypothesis at α = 0.1? What about at α = 0.05? Use both p-value approach and critical value approach. What are your conclusions?

2. A cellphone provider wants to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 135 of the subscribers would upgrade to a new cellphone at a reduced cost. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost?

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