The local government is considering implementing a roads and public transport infrastructure upgrade project. Before they commit to this however, they would like to canvas public opinion to gauge community support for such a project. If it they are convinced that more than 65% of the community support the proposed upgrade project, then the government will commission the project.

The following sample was collected by asking a randomly selected group of 110 people whether or not they supported the proposed upgrade project.

Download the data

no	yes	yes	yes	yes	yes	no	yes	yes	yes
yes	yes	yes	no	no	yes	yes	no	no	yes
yes	yes	yes	yes	yes	yes	yes	yes	yes	yes
no	no	yes	no	yes	yes	no	yes	yes	yes
yes	no	no	yes	yes	no	yes	yes	no	yes
yes	no	no	yes	yes	yes	yes	yes	yes	no
yes	yes	yes	yes	yes	no	yes	no	yes	no
no	yes	yes	yes	yes	yes	no	yes	yes	yes
yes	no	yes	yes	yes	yes	yes	yes	no	no
no	yes	no	no	yes	yes	no	no	yes	yes
yes	no	yes	yes	yes	yes	yes	yes	yes	no

The level of significance to be used in the test is = 0.05. You may find thisstandard normal tableuseful throughout this question.

a)From the following options, select the correct null and alternate hypotheses for this test:

A:H₀: p = 0.65, H_a: p > 0.65

B:H₀: p = 0.65, H_a: p < 0.65

C:H₀: p = 0.65, H_a: p 0.65

D:H₀: p < 0.65, H_a: p > 0.65

The correct null and alternate hypotheses for this test are:ABCD

b)Calculate the test statistic (z) for this hypothesis test. Give your answer to 2 decimal places.

z =