Hypothesis Tests for Population Proportions

A new proposition on a ballot wants to know whether it is likely to pass. It will pass with more than 50% of the votes. A pole is taken and 571 out of 1000 people support the proposition. Using a hypothesis test, what is the z test statistic?

• 4.49

• 2.37

• 4.10

• 3.46

According to a recent newspaper, the dropout rate for college students with loans is 30%. 65 out of 200 random college students with loans drop out. Using a hypothesis test, give the alternative hypotheses to test the dropout rate is not 30%

• p > .3

• p ≠ .3

• p = .3

• p < .3

31% of people in a large country have sleepwalked at least once in their lives. A random sample of 200 people showed that 46 sleepwalked. Use a hypothesis test to determine if the proportion of people who have sleepwalked is different and report the p value.

• .245

• .274

• .014

• .052

The percentage of female CEOs in a group of companies was 5%. A survey of 300 randomly selected large companies said that 18 of them had female CEOs. Use a hypothesis test to determine whether the population proportion of female CEOs is not .05, using a significance level of .05. Determine if we accept or reject the null hypotheses and state the conclusion.

• Reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.

• Do not reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.

• Reject the null hypothesis. There is sufficient enough evidence to conclude that the proportion of female CEOs is not .05.

• Reject the null hypothesis. There is not sufficient enough evidence to conclude that the proportion of female CEOs is not .05.

A study reported the results of a hypothermia treatment for babies. 26 of the 96 infants randomly assigned to hypothermia died and 40 out of 97 infants in the control group died. Using a hypothesis test, find the p value for this test.

• .019

• .038

• .178

• .375