Question

Question 11 (1 point)

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.57. However, you think it is different from 0.57. The hypotheses for this test are Null Hypothesis: p = 0.57, Alternative Hypothesis: p ≠ 0.57. If you randomly sample 28 people and 14 of them support President Trump, what is your test statistic and p-value?

Question 11 options:

1)	Test Statistic: -0.748, P-Value: 0.546

2)	Test Statistic: -0.748, P-Value: 0.227

3)	Test Statistic: 0.748, P-Value: 0.454

4)	Test Statistic: -0.748, P-Value: 0.773

5)	Test Statistic: -0.748, P-Value: 0.454

Answer 1

Solution:

This a two- tailed test.

Point estimate = sample proportion = = x / n = 0.5

Test statistics

z = ( - ) / *(1-) / n

= ( 0.5 - 0.57) / (0.57*0.43) /28

= -0.748

P_value = 2 * P(Z < z )

= 2 * P(Z < -0.748 )

= 0.454

Option 5) is correct.