n a previous poil, 26% of adults with children under the age of 18 reported that

Question

n a previous poil, 26% of adults with children under the age of 18 reported that eir famly ate dinner together 7hts a wek Suppose that, in a more recent poll 208 of 1060 aduts with dhildren undar the age of 18 chiben under he age of 18 who eat dinner togeer 7-ights a week has decreased at the .0.06 sg lance levw? What are the null and atemative hypotheses? P.value (Round to three decimal places as neaded ) OA. Yes, thoro is sfert oviderce because the P-value geater than he level of signbanco Therefore, teped the hypothesis O B. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Thenefore, do not meject the null hypothesis oc. here is not sufoent evince because the P-value is greater than he walofsglance Therekre, do not r the rul hypoeess. D. No, there "ot suficient evidenon because the P-value ls greater ran the level of sgnlane Therefore, neiect nul hypothesis

Explanation / Answer

Sol:

H0:p=0.26

H1:p<0.26

alpha=0.05

Z=p^-p/sqrt(p*(1-p)/n)

sample proportion= p^=x/n=268/1060=0.2528302

Z=0.2528302-0.26/sqrt(0.26*(1-0.26)1060

Z=-0.53

p=0.297

No there is no sufficietn evidence as p value is larger than level of significance

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