Respuesta :
The chi-square test statistic for goodness-of-fit test 42.200 greater than chi-square critical value 11.071, so the null hypothesis is rejected at 5% level of significance
To evaluate, with a 5% level of significance, the hypothesis that the factors influencing car choice are not all equally likely.
The alternative and null hypothesis are,
The equal likelihood of the many factors is the null hypothesis.
The alternative theory is that not all of the factors that go into picking a car are equally likely.
For the goodness-of-fit test, the chi-square test statistic is,
First, find frequency expected then compute chi-square test statistics.
The average for the observed frequencies computation is the frequencies expected. The
total for the expected frequencies must equal for the total observed frequencies
The expected frequencies for category 1 are,
The chi-square critical value is,
We need to find degrees of freedom for finding chi-square critical values.
degrees of freedom = k -1
=6-1
Display degrees of freedom 5 and significance level 0.05 from the critical value table.,
so the chi-square critical value is 11.071.
The chi-square critical value is 11.071
The conclusion is that chi-square test statistic for goodness-of-fit test 42.200 greater than chi-square critical value 11.071, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that the reasons for choosing a carare not equally likely. The result is statistically significant.
To learn more about level of significance click here:
brainly.com/question/4599596
#SPJ4
