Reference text for questions 1-4: Suppose a scratch-off lottery game in NC claims that 25% are of their cards yield a prize. To test whether the population proportion of cards containing a prize (denote) is different from 0.25, you obtain a random sample of 100 cards. Then, you find the proportion of cards containing a prize in your sample (denote) is equal to 0.22.

Which (if any) of the following options correctly specifies the null and alternative hypotheses you are testing?

Select one:

Null:= 25%; Alternative: 25%

Null:= 0.25 ; Alternative: 0.25

Null:= 0.25 ; Alternative: 0.25

Null:=; Alternative:

None of these options correctly specifies both the null and alternative hypotheses for this test.

Question2

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If the null hypothesis is true, what is the mean and standard deviation of your sampling distribution?

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Mean = 0.25; Standard Deviation = 0.0433

Mean = 0.21; Standard Deviation = 0.0433

Mean = 0.21; Standard Deviation = 0.0407

Mean = 0; Standard Deviation = 1

Mean = 0.25; Standard Deviation = 0.0407

Question3

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What is the value of your test statistic?

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-0.9237

0.9828

-0.9828

0.9237

Question4

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At a significance level of 0.10, you would...

Select one:

Reject the null hypothesis.

Fail to reject the null hypothesis.

Accept the null hypothesis.

Accept the alternative hypothesis.

Not reach a conclusion. Not enough information to complete the test.