Solve given Inferences involving two populations Inference about two Population Proportions: Independent Samples: A government housing agency is compa

remolatg 2020-12-05 Answered
Solve given Inferences involving two populations Inference about two Population Proportions:
Independent Samples:
A government housing agency is comparing home ownership rates among several immigrant groups. In a sample of 235 families who emigrated to the U.S. from Eastern Europe five years ago, 165 now own homes. In a sample of 195 families who emigrated to the U.S. from Pacific islands five years ago, 125 now own homes.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Layton
Answered 2020-12-06 Author has 89 answers

p1: Proportion of families who emigrated to the U.S. from Eastern Europe five years ago
p2: Proportion of families who emigrated to the U.S. from Pacific islands five years ago
Null hypothesis: H0:p1=p2
Sample 1: emigrated to the U.S. from Eastern Europe five years ago
Number families who emigrated to the U.S. from Eastern Europe five years ago: n1=235
Number families who now own homes: x1=165
Proportion of families who emigrated to the U.S. from Eastern Europe five years ago :small widep^1=0.7021
Sample 2: emigrated to the U.S. from Pacific islands five years ago
Number families who emigrated to the U.S. from Pacific islands five years ago: n2=195
Number families who now own homes: x2=125
Sample proportion of families who emigrated to the U.S. from Pacific islands five years ago: small widep^2=125195=0.641
Test Statistic: Z=p^1  p^2p^1 (1p^1)n1 + p^2 (1p^2)n2
Test Statistic: Z=0.7021  0.6410.7021(10.7021)235 + 0.641(10.641)195 = 0.06110.0455 = 1.3429
For two failed test:
PValue = P(Z < Zstat) + P(Z > Zstat)
=2× P(Z<1.3429)=2× 0.0897=0.1794
p-value = 0.1794
α = 0.05
As P-Value i.e. is greater than Level of significance i.e (Pvalue:0.1794>0.01:Level of significance), Fail to Reject Null Hypothesis
There is not sufficient evidence to conclude that there is a significant difference in home ownership rates in the two groups of immigrants.

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-03-02
In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a conference
asked 2020-11-01
Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?
asked 2020-10-21
For each of the following test, outline a research scenario and use any hypothetical data to show how the test is conducted.
Paired two-sample t-test
asked 2021-10-12
Why is Sampling, Estimation and Testing Important?
asked 2022-09-07
I'm struggling to compare the %increase/decrease in the average homicide rate of a select group of cities to the state homicide rate.
For example, if the state saw a 4% decrease (-4) in the homicide rate over a two-year period but the average homicide rate in my group of comparison cities increased by 2%(+2), how much bigger was the increase in my group of comparison cities compared to the state? Is it possible to make a statement along these lines: "The average homicide rate of the comparison group increased X times more than the state rate over the same period."
It can't be this | 4 | / 2 = 2 because it's definitely more than double.
asked 2021-01-31
Give full and correct answer for this questions Pooled variance is appropriately applied in which of the following scenarios? A)When comparing the mean of a treatment on a single group B)When comparing the mean of a treatment on two groups C)When comparing the means of three or more treatments on two groups D)When comparing the means of two treatments on three or more groups
asked 2021-03-07
Population The resident population P (in millions) of the United States from 2000 through 2013 can be modeled by P=0.00232t3+0.0151y2+2.83t+281.8,0t13, where t=0 corresponds to 2000.
(Source: U.S. Census Bureau)
Make a conjecture about the maximum and minimum populations of the United States from 2000 to 2013.
Analytically find the maximum and minimum populations over the interval.
The brief paragrah while comparing a conjecture with the minimum population was 281.8 million in 2000 and the maximum population was 316.1 million in 2013.
We need to calculate: The absolute extrema of the popullation P=0.00232t3+0.0151y2+2.83t+281.8,0t13 over the closed interval [0, 13].

New questions