Answer:
The degrees of freedom are given by:
And the p value would be given by:
Since the p value is lower than the significance level provided we have enough evidence to reject the null hypothesis and we have enough evidence to conclude that the loaded die behaves differently than a fair die
Step-by-step explanation:
System of hypothesis
H0: There is no difference in the outcomes frequency
H1: There is a difference in the outcomes frequency
The level of significance assumed for this case is
The statistic to check the hypothesis is given by:
The expected frequency for each case is :
![E_i = \frac{200}{6}= 33.333](https://tex.z-dn.net/?f=%20E_i%20%3D%20%5Cfrac%7B200%7D%7B6%7D%3D%2033.333)
The observed values are:
26, 30, 49, 42, 26, 27
And now we can calculate the statistic:
The degrees of freedom are given by:
And the p value would be given by:
Since the p value is lower than the significance level provided we have enough evidence to reject the null hypothesis and we have enough evidence to conclude that the loaded die behaves differently than a fair die