70% of voters in a certain state support an increase in the minimum wage. a researcher believe that the percentage of fast food workers for support and increase is higher than 70%. in a random sample of 300 fast food workers for 240 supporters increase an minimum-wage. test is significant level a = .05 find

Let p be the proportion of voters in a certain state support an increase in the minimum wage.

As per given , we have

Since alternative hypothesis is right-tailed so the test is a right-tailed test.

Test statistic :

, where n= sample size.

p= population proportion.

= sample proportion.

. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.

i.e. n= 300 and

Then,

For significant level α = .05 , the critical z-value is

Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.

Conclusion : We have sufficient evidence o support researcher's claim that  that the percentage of fast food workers for support and increase is higher than 70%..

both equations and proportions are better.