Question

In: Statistics and Probability

Determine the test statistic, the P-value, and test the hypothesis at the alpha equals 0.05α=0.05 level...

Determine the test statistic, the P-value, and test the hypothesis at the

alpha equals 0.05α=0.05 level of significance.

Outcome   Observed   Expected
0 3   1.6
1 40   25.5
2 121   153.1
3 442   408.4
4 391   408.4

Solutions

Expert Solution

The Chi square table is

Where diff. sq= ( Expected -Observed)2

Hence Test statistic=19.706

Now at test statistic calculated value the P-value is computed using table shown below as

The P-Value is .000571

Conclusion:

Since the P-value << 0.05 hence there is enough evidence to support the claim, and reject the null hypothesis.


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