Question

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 60% 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 Survey results: yes yes yes no yes no no yes no yes yes no no no yes no yes yes yes yes yes no no yes yes no no no yes no yes yes yes yes yes no yes yes yes yes no yes yes yes yes yes yes yes yes yes no no yes no yes yes yes yes yes yes no no yes yes no yes yes yes yes yes yes yes yes yes yes no no no yes no no yes yes yes yes yes yes yes yes yes yes no yes no yes no no yes yes yes The level of significance to be used in the test is a -0.05. a) From the following options, select the correct null and alternate hypotheses for this test: A: Ho: p = 0.6, Ha: p < 0.6 B: Họ: p = 0.6, H.: p = 0.6 C: Ho: p = 0.6, Ha:p > 0.6 D: Họ: P < 0.6, Ha:> 0.6 The correct null and alternate hypotheses for this test are: b) Calculate the test statistic (z) for this hypothesis test. Give your answer to 2 decimal places.

Answer 1

The statistical software output for this problem is :

One sample proportion summary hypothesis test: p: Proportion of successes Hop=0.6 HA:p>0.6 Hypothesis test results: Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value 7 3 110 0.66363636 0.046709937 1.3623732 0.0865 p

C: Mo: p = 0.6, Hy: p > 0.6

z = 1.36