Question

Based on 1150 Randomly select audience 750 do not trust politicians but, ABC reporting agency claims just 55% population do not trust politicians. Use any test stat to except or reject ABC claim.

8- Based on 1150 Randomly select audience 750 do not trust politicians but, ABC reporting agency claims just 55% population do not trust politicians. Use any test stat to except or reject ABC claim.

Answer 1

We can use the Z Test of Hypothesis for the Proportion for testing for proportion.

The test is given by,

$\\H_0 : p=.55 \\H_0 : p \neq .55$

The test statistic is given by,

$Z = \frac{p-p_0}{\sqrt{\frac{p_0-q_0}{n}}}$

And hence substituting and using the z-table,

Z Test of Hypothesis for the Proportion
Data
Null Hypothesis            p =	0.55
Level of Significance	0.05
Number of Items of Interest	750
Sample Size	1150
Intermediate Calculations
Sample Proportion	0.652173913
Standard Error	0.0147
Z Test Statistic	6.9647
Two-Tail Test
Lower Critical Value	-1.9600
Upper Critical Value	1.9600
Reject the null hypothesis

hence we reject the null hypothesis or ABC's claim that 55% population do not trust politicians with 95% confidence level.