Question

A recent study indicated of 50 cdddvcvvo people indicated that 53.5% of people vote. Test the Hypothesis at the α =.05 level that the proportion of people that vote is > 50%

Answer 1

Solution :

The null and alternative hypothesis is

H0 : p = 0.5

Ha : p > 0.5

= 0.535

1 - P0 = 0.5

Test statistic = z

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

=0.535 - 0.5 / [(0.5 * 0.5) / 50]

z = 0.49

P-value = 0.3103

= 0.05

P-value >

Fail to reject the null hypothesis.

There is insufficient evidence to support the claim.