Answer:
The value of the test statistic is 6.642.
Step-by-step explanation:
A Chi-square test for Goodness of fit will be used to determine whether the viewing audience proportions changed.
The hypothesis is defined as:
H₀: The viewing audience proportions has not changed.
Hₐ: The viewing audience proportions has changed.
The test statistic is:
[tex]\chi^{2}=\sum \frac{(O-E)^{2}}{E}[/tex]
Here,
O = observed frequencies (O - E)²
E = expected frequencies = n × p
The table below shows the observed and expected frequencies.
Compute the test statistic value as follows:
[tex]\chi^{2}=\sum \frac{(O-E)^{2}}{E}\\=0.011+1.282+4.379+0.970\\=6.642[/tex]
Thus, the value of the test statistic is 6.642.
