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A 2001 harris poll of 1011 randomly selected american adults found that 25% were cigarette smokers. a sample of the same size in 1983 found that 30% were cigarette smokers. write the hypotheses for a significance test to determine whether there was a significantly higher proportion of cigarette smokers in 1983 than in 2001.

Respuesta :

Let p1 be the proportion of American adults that were cigarette smokers in 2001
Let p2 be the proportion of American adults that were cigarette smokers in 1983

h0= p1= p2 (The null hypothesis assumes that there is no difference in the proportion of American adults that were cigarette smokers in 2001 and 1983. 

ha= p1 < p2 (The alternative hypothesis assumes that the proportion of American adults that were cigarette smokers in 1983 is higher than those in 2001.)
batolisis

The hypothesis to determine whether there was a significant higher proportion of smokers :

  • H0 : P₁ = P₂
  • Ha : P₁ < P₂

Hypothesis for a significant test

Let :

P₁ = proportion of smokers from 2001 ( 25% )

P₂ = proportion of cigarette smokers in 1983 ( 30% )

poll from 2001 = 1011

poll from 1983 = 1011

The Null hypothesis ( H₀ ) : P₁ = P₂

Alternate Hypothesis ( Ha ) : P₁ < P₂

Hence we can conclude that The hypothesis to determine whether there was a significant higher proportion of smokers :

  • H0 : P₁ = P₂
  • Ha : P₁ < P₂

Learn more about hypothesis : https://brainly.com/question/11555274

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