A 2018 General Social Survey asked "Do you/Does your family own your home/apartment, pay rent, or what?"Out of 1552 Americans, 588 said that they pay rent.Is there significant evidence that more than 40% of Americans rent their home?

You are going to perform a significance test for the population proportion using the following hypotheses.

Ho: p=0.40

Ha: p?0.40

Where p is the true proportion of Americans who rent their home.

a.What is the correct sign fora?

-not = to

-<

-=

->

b.Which of the following necessary assumptions are met?

1. Data is categorical
2. Data is quantitative
3. SRS taken
4. The sample size is n = 1552 which is at least 30.
5. There are 588 successes and 964 failures, both are at least 15.
6. np0= 1552(0.40) = 620.8 and n(1-p0) = 1552(1-0.40) = 931.2, both are at least 15.

c.Calculate the test statistic.

-0.3789

-1.70

• -1.77
• .40

--1.70

d.The p-value is 0.9554.

Fill in the blanks.

With a p-value of 0.9554 (large p-value), I

-fail to reject Ha

-acceptH0

-fail to reject Ho

-Reject Ho

-Reject Ha

-accept Ha

there is

-signif. evidence

-no signif. evidence

that the true proportion of Americans who rent their home is more than 40%.

e.In the same survey, 939 out of 1552 Americans said that they own their own home.Is there significant evidence that more than 40% of Americans own their own home?

A significance test was performed.The test statistic is 16.49 and the p-value is 0.000.At what levels of alpha would you reject0

-fail to reject Ho at any of a=0.01, 0.05, and 0.10

-reject Ho at a= 0.01 but not at 0.05 and 0.10

-reject Ho at a= 0.10 and 0.05, but not at 0.10

-reject Ho at a = 0.1 but not at 0.05 and 0.10

-reject Ho at all of a = 0.01,0.05, and 0.10