Security expert claims that at most 20% of all homeowners have a home security a

Question

Security expert claims that at most 20% of all homeowners have a home security alarm. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, , or two tailed Explain tate the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.20" The null hypothesis is expressed symbolically as "H_0: p = 0.20" B. The null hypothesis expressed in words is. "The proportion of a homeowners who own a home security alarm is not 0.20" The null hypothesis is expressed symbolically as to "H_0: p notequalto 0.20" C. The null hypothesis expressed in words is, "the proportion of homeowners who own a home security alarm is at most 0.20 "The null hypothesis is expressed symbolically as "H_0: p greaterthanorequalto: p greaterthanorequalto 0.20 D. The nul hypothesis expressed in words is. "The proportion of a homeowners who own a home security alarm is at least 0.20" The null hypothesis is expressed symbolically H_0: p greaterthanorequalto 0.02" State the alternative hypothesis in words and in symbols Choose the correct answer below. A. The alternative hypothesis expressed in words is "the proportion of all homeowners who own a home security alarm is not equal 0.20" The alternative hypothesis is expressed symbolically as "H_0: p notequalto 0.20" B. The alternative hypothesis expressed in words is. "the proportion of all homeowners who own a home security alarm is more than 0.20" The alternative hypothesis is expressed symbolically as, "H_0: p > 0.20" C. The alternative hypothesis expressed in words is. "the proportion of al homeowners who own a home security alarm is 0.20." The alternative hypothesis is expressed symbolically as "H_0: p = 0.20" D. The alternative hypothesis expressed in words is. "the proportion of all homeowners who own a home security alarm is less than 0.20." The alternative hypothesis is expressed symbolically as, "H_0: p

Explanation / Answer

Security expert claims that atmost 20% of all homeowners have a home security alarm i.e

i.e Security expert claims that the p : proportion of all homeowners who own a security alarm < 0.20 (20/100) i.e P<0.20

A null hypothesis is what, the researcher tries to disprove whereas an alternative hypothesis is what the researcher wants to prove.

Here the security expert wants to prove that atmost 20% of all home owners have a home security i.e Ha: p< 0.20

i.e Security expert wants to disporve that the p=0.20 so Ho : p=0.20

Answers :

The null hypothesis expressed in words is " the proportion of all homeowners who own a security alarm is 0.20". The null hypothesis expressed symbolically as "H0: p = 0.20"

The alternate hypothesis expressed in words is " the proportion of all homeowners who own a security alarm is less than 0.20".The Alternate hypothesis expressed symbolically as "Ha: p < 0.20"

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