Diagnostic Test in Statistics

The decision-making process for evaluating claims about a population based on the characteristics of a sample is called __.

• mean

• hypothesis testing

• proportion

• statistic

When the confidence level is at 99%, the significant levels (α) is ____________.

• 0.01

• 0.99

• 0.10

• 1

Which of the following would be an appropriate null hypothesis?

• The mean of a population is equal to 50.

• The mean of a sample is equal to 50.

• The mean of a population is greater than 50.

• The mean of a population is less than 50.

Which of the following would be an appropriate alternative hypothesis?

• The mean of population is less than 0.45.

• The mean of a sample proportion is less than 0.45.

• The population proportion is not less than 0.45.

• The sample proportion is not less than 0.45.

A Type II error is committed when the null hypothesis is _____________.

• rejected when it is true

• not rejected when it is true

• rejected when it is false

• not rejected when it is false

What will result if we conclude that the mean (µ) > 47 when its true value is 52?

• Type I error

• Type II error

• an error

• a good decision

If we reject the null hypothesis when it is false, then we have committed _____________.

• a Type II error

• a Type I error

• an error

• a good decision

A study claims at 95% confidence that students send an average of 500 messages daily. The significance level (α) of the test is ________________ while the rejection region is in the ________________.

• 95%; left and right (two tailed)

• 0.05; left and right (two tailed)

• 0.5; left and right (two tailed)

• 0.05; right tailed

Sheila knows for sure that Mike is a liar, but she keeps on believing in him. Sheila has committed _______________.

• a Type II error

• a Type I error

• no error

• a good decision

John insists that Precious is his girlfriend when Precious does not even know him. John has committed _______________.

• a Type II error

• a Type I error

• no error

• a good decision