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A random number generation device is expected to generate random values according to the Binomial distribution with n=5 and p=0.5. To ensure that this random

A random number generation device is expected to generate random values according to the Binomial distribution with n=5 and p=0.5. To ensure that this random number generation is consistent with the given Binomial distribution, 1000 recently generated random values by this device have been organized in the following table. If the Chi-squared goodness-of-fit test is used to test whether random values have been appropriately generated by the device, which of the following statements are true? Select all that apply (Hint: there are three correct responses).

x Observed Frequency
0 35
1 140
2 295
3 356
4 144
5 30

1 Assuming that the Null hypothesis is true, the sample collected was not an "unusual" sample.

2 At 5% level of significance, there is enough evidence to support the Null hypothesis.

3 At 5% level of significance, there is enough evidence to support the claim that the Binomial distribution is not a good fit.

4 At 5% level of significance, there is enough evidence to support the Alternative hypothesis.

5 Assuming that the Null hypothesis is true, the sample collected was an "unusual" sample.

6 At 5% level of significance, there is not enough evidence to decide that the Binomial distribution is not a good fit.

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