12.2 hypothesis test for one pop prop

test steps

1. Given a claim, identify the null hypothesis and the alternative hypothesis, and express them both in symbolic form. 2. Given a claim and sample data, calculate the value of the test statistic. 3. Given a significance level, identify the critical value(s). 4. Given a value of the test statistic, identify the P-value. 5. Make a decision 6. State the conclusion of a hypothesis test in simple, non-technical terms.

A statistician read that at least 77% of the population oppose replacing $1 bills with $1 coins. To see if this claim is valid the statistician selected a sample of 80 people and found that 55 were opposed to replacing the $1 bills. At a significance level of 0.01, test the claim that at least 77% of the population are opposed to the change.

Ho= p=.77 (p>or=.77) claim Ha= p < .77 # success= 55 # observed=80 p=.6875 zstat=-1.753 p=.0398 a= .01 CV= p(x<or = _______) = .01 stat calc normal plug in =-2.326 is test more extreme than CV? no is pvalue less than .01? no fail to reject Ho there is not sufficient evidence to warrant rejection of the claim that at least 77% of pop are opposed to replacing $1 bills with $1 coins

test stat

big formula or STATCRUNCH #yeet