Where do you live? ~ The housing market plays an important role in the modern economy. Population-level changes in the number of people who live in a household affects the demand for housing, home appliances, and furniture. It also affects spending related to housing, such as cable company subscriptions and household goods (bathmats, curtains, silverware, etc.).Even before the Coronavirus pandemic of 2020, household size in the U.S. was increasing, due in part to the trend of young adults living in their parents' homes for longer periods of time.Jayden works for a government agency that is keeping track of housing trends. They use results from a 2016 survey of US residents to calculate the percentage of 18- to 35-year old adults who were living in each of the four arrangements listed in the table below.Jayden then obtains a random sample of 440 adults between the ages of 18 and 35 in 2021 and determines how many of the people in the sample are living in each of the four arrangements. The results of the sample are also listed in the table.

Living Arrangement	2016 Percentage	2021 Sample Results
Living in parents' home	32.1%	175
Married or cohabitating in own household	31.6%	127
Living alone/Single parents	14.2%	55
Other living arrangements	22.1%	83

Jayden wonders if the distribution of 18- to 35-year old adults' living arrangements in 2021 is different from the percentages reported in 2016. Jayden wants to use the data to conduct a hypothesis test.Round all calculated answers to 4 decimal places.1. What type of hypothesis test should Jayden use to answer the research question?A. 22 goodness of fit test B. 22 test of independence C. One sample Z-test for a population proportion D. One sample t-test for a population mean E. Two sample z-test for the difference in population proportions

2. Choose from the dropdown menus to complete the null and alternative hypotheses Jayden should use to conduct the hypothesis test.H0H0: The distribution of living arrangements for 18- to 35-year old adults in 2021 is ? smaller than larger than the same as different from the percentages reported in 2016. Any observed difference ? is is not due to chance.HaHa: The distribution of living arrangements for 18- to 35-year old adults in 2021 is ? smaller than larger than the same as different from the percentages reported in 2016.

3. What conditions must be met for the hypothesis test to be valid? A. Each observation must be independent of all other observations. B. There must be an expected count of at least 5 for each level of the categorical variable. C. There must be at least 10 'success' and 10 'failure' observations. D. There must be at least 3 levels of the categorical variable. E. Population data must be nearly normal or the sample size must be at least 30.

4. Calculate the expected count for the number of 18- to 35-year old adults you would expect in the category, "Married or cohabitating in own household", under the null hypothesis.Expected count for "Married or cohabitating in own household" =

The observed test statistic for this problem is 12.092923.5. Calculate the contribution toward the test statistic from the category "Married or cohabitating in own household".Contribution =

6. State the degrees of freedom for this test.df=df=

7. Calculate the p-value. Note that the test statistic is 12.092923, as stated above.p-value =

8. Based on this p-value, Jayden has ? little some strong very strong extremely strong evidence against the null hypothesis.