70% of voters in a certain state support an increase in the minimum wage. A researcher believes that the percentage of fast-food workers who support an increase is higher than 70%. In a random sample of 100 fast-food workers, 83 support an increased minimum wage. Testing at significance level a = .05, find:

1

Ha, the alternative hypothesis :

Group of answer choices

p > .8

p > .7

p = .8

p > .9

p < .7

2

p̂ =

Group of answer choices

.7

.9

.83

.75

3

Z-value =

Group of answer choices

2.84

3.54

.05

.046

4

P-value =

Group of answer choices

.01

.002

.05

.9

5

Conclusion (reject or do not reject H₀  )

Group of answer choices

reject H₀

do not reject H₀

not enough information to decide

95% chance of being correct