Question

I am trying to solve for population proportion using steps and statcrunch. Ex; I believe population proportion of adults who own pets in the US is 0.35. 14 out of 50 own pets.Test at 0.5 significance level. I am having problems solving (steps to solve) and using statcrunch.

Answer 1

Setting up hypothesis→

Population proportion →P

Sample proportion→p^=14/50= 0.28

Sample size n= 50

Ho:P= 0.35

H1:P≠0.35

Test statistic z= (p^-P)/√(P*(1-P)/n)

Z= (0.28-0.35)/√(0.35*0.65/50)=-1.0377

Level of significance (alpha)= 0.5(given)

P value = prob(z>1.0377)*2=0.2994

Since p value is less than level of significance (0.5)

We reject null hypothesis.

Conclusion:→we have sufficient evidence to claim that the population proportion is different from 0.35

[ for better understanding: Extra→ if level of significance=0.05 then we can not reject the null hypothesis and conclude that the we have in sufficient evidence to claim that population proportion is different from 0.35]

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thanks!

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