Question

A labour is also being asked how many votes the Party A will get in the general election. For this purpose, an opinion poll of more than 1000 people in Izmir found that 470 people voted for party A. If the share of the vote for a party in Izmir province is equal to 50%, please test and interpret it at 0.004. (C: H0 cannot be reject)

Answer 1

Solution :

Given that ,

n = 1000

x = 470

The null and alternative hypothesis is

H0 : p = 0.5

Ha : p 0.5

This is the two tailed test

= x / n = 470 / 1000 = 0.47

P0 =  50% = 0.5

1 - P0 = 1 - 0. 5 = 0.5

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.47 - 0.5 / [0.5 *( 1 - 0.5 ) / 1000 ]

= -1.897

The test statistic = -1.897

P-value = 0.0578

= 0.004

0.0578 > 0.004

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to the test claim .