This is an extension of Example 1 of Chapter 28 in the textbook. Suppose that table 1 had 600 entries instead of 60, with observed frequencies as shown in the table below. Value           Observed frequency 1                            90 2                           110 3                           100 4                             80 5                           120 6                           100 (1) Make a X square -test of the null hypothesis that the die is fair. What's the p-value? (round to 3 decimals)  (2) Comparing to the previous question, the sample size increased but the percentage of observed values stayed the same (For example for side 1 is observed 9.6% (9/60=90/600 times)  . What happened to the p-value? Is it increased (i), decreased (d), or stayed the same (s)? Enter one of i, d or s.

This is an extension of Example 1 of Chapter 28 in the textbook. Suppose that table 1 had 600 entries instead of 60, with observed frequencies as shown in the table below.

Value           Observed frequency

1                            90

2                           110

3                           100

4                             80

5                           120

6                           100

(1) Make a X square -test of the null hypothesis that the die is fair. What's the p-value? (round to 3 decimals) 

(2) Comparing to the previous question, the sample size increased but the percentage of observed values stayed the same (For example for side 1 is observed 9.6% (9/60=90/600 times)  . What happened to the p-value? Is it increased (i), decreased (d), or stayed the same (s)? Enter one of i, d or s.