To test the claim that the proportion of twos is 0.10.1 at the 0.050.05 significance level using the P-value method, consider this scenario: in a survey of 800800 randomly chosen credit card numbers, 6868 of the last digits were twos, while if the digits were truly random, the proportion of twos should be 0.10.1.

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Problem 30Multiple Choice

To test the claim that the proportion of twos is $0.1$ at the $0.05$ significance level using the P-value method, consider this scenario: in a survey of $800$ randomly chosen credit card numbers, $68$ of the last digits were twos, while if the digits were truly random, the proportion of twos should be $0.1$ .

Reject the null hypothesis; there is sufficient evidence to suggest the proportion of twos is $0.1$ .

Reject the null hypothesis; there is sufficient evidence to suggest the proportion of twos is not $0.1$ .

Fail to reject the null hypothesis; there is not sufficient evidence to suggest the proportion of twos is different from $0.1$ .

Fail to reject the null hypothesis; there is sufficient evidence to suggest the proportion of twos is $0.1$ .

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