A survey of a random sample of 1,045 young adults found that 60 percent do not have a landline telephone number. A hypothesis test will be used to determine whether the data provide convincing statistical evidence that more than 50 percent of all young adults do not have a landline telephone number. What is the test statistic for the appropriate test?

Test statistic for the appropriate test is 6.598.

Step-by-step explanation:

We are given that a survey of a random sample of 1,045 young adults found that 60 percent do not have a landline telephone number.

We have to test the hypothesis that whether the data provide convincing statistical evidence that more than 50 percent of all young adults do not have a landline telephone number.

Let Null Hypothesis, : p 0.50  {means that less than or equal to 50 percent of all young adults do not have a landline telephone number}

Alternate Hypothesis, : p > 0.50  {means that more than 50 percent of all young adults do not have a landline telephone number}

The test statistics that will be used here is One-sample proportion test;

                T.S. = ~ N(0,1)

where, = % of young adults who do not have a landline telephone number

                      in a sample of 1,045 young adults = 60%

           n = sample of young adults = 1,045

So, test statistics =  

                            = 6.598

Hence, the test statistic for the appropriate test is 6.598.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)