Difference in the proportion of male and female

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You want to find whether there is a difference in the proportion of male and female college students who had a job during the past semester. Out of a simple random sample of 200 female and 250 male college students, you find that 146 females and 212 males reported they had a job the previous semester.

Which hypotheses should you test if pm and pf denote the proportions of all college males and females, respectively, who worked the previous semester?

H0: pm - pf = 0 versus Ha: pm - pf ≠ 0

H0: pm - pf = 0 versus Ha: pm - pf > 0

H0: pm - pf = 0 versus Ha: pm - pf < 0

H0: pm - pf > 0 versus Ha: pm - pf = 0

H0: pm - pf ≠ 0 versus Ha: pm - pf = 0

(06.05 MC)

Which of the following is a TRUE statement about hypothesis testing?

The probability of a Type I error plus the probability of a Type II error always equals one.

The power of a test concerns its ability to detect a null hypothesis.

If there is sufficient evidence to reject a null hypothesis at the 5% level, then there is sufficient evidence to reject it at the 10% level.

Whether to use a one-sided or a two-sided test is typically decided after the data are gathered.

If a hypothesis test is conducted at the 1% level, there is a 1% chance of rejecting the null hypothesis.

Reference no: EM132847050

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