Question
I only need help with the last question For atwo-tailed hypothesis test at the significance level , the null hypothesis H0: =0 will be rejected
I only need help with the last question
For atwo-tailed hypothesis test at the significance level , the null hypothesis H0: =0 will be rejected in favor of the alternative hypothesis Ha: 0 if and only if 0 lies outside the (1)-level confidence interval for . Illustrate the preceding relationship by obtaining the appropriateone-mean t-interval for the summary statistics provided. Complete parts(a) and(b).
a. According to asurvey, the average person watched 4.59 hours of television per day in 2005. A random sample of 20 people were asked for the number of hours of television watched per day for last year. At the 20% significancelevel, the data donotprovide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005.(Note: x=4.796 hours and s=2.262 hours.)
The confidence interval is (4.124,5.468)
(Round to three decimal places asneeded.)
Since the value of 0 lies the (1)-level confidence interval for , these results consistent with the hypothesis test the null hypothesis.?
Since the value of 0 lies inside the (1)-level confidence interval for , these results are consistent with the hypothesis test failing to reject the null hypothesis.
b. According to a national study the average consumer unit spent $1733 on apparel and services in 2012. That sameyear, 25 consumer units in the Northeast were surveyed about their annualexpenditures, indollars, on apparel and services. At the 2% significancelevel, the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1733. (Note: x=$1924.86 and s=$350.63.)
The confidence interval is ?
Since the value of 0 lies the (1)-level confidence interval for , these results consistent with the hypothesis test the null hypothesis.?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started