A security expert claims that less than 17% of all homeowners have a home security alarm. State Upper H 0 and Upper H Subscript a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.

We need to conduct a hypothesis in order to test the claim that the true proportion os homeowners who have a home security alarm is less than 0.17 or 17%, so then we need to conduct a left tailed test and the system of hypothesis are.:  

Null hypothesis:  

Alternative hypothesis:  

Step-by-step explanation:

Data given and notation

n represent the random sample taken

estimated proportion of interest

is the value that we want to test

represent the significance level

z would represent the statistic (variable of interest)

represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion os homeowners who have a home security alarm is less than 0.17 or 17%, so then we need to conduct a left tailed (since we want to check if the real parameter is lower than specified value) test and the system of hypothesis are.:  

Null hypothesis:  

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm