Test 4

The null and alternative hypotheses are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tailed. What parameter is being​ tested? H0​: μ = 5 H1​: μ > 5

Choose the correct answer below. Right- tailed What parameter is being tested μ

Sample evidence can prove that a null hypothesis is true.

False

According to the Federal Housing Finance​ Board, the mean price of a​ single-family home two years ago was ​$299,600. A real estate broker believes that because of the recent credit​ crunch, the mean price has decreased since then. The null hypothesis is not rejected.

There is not sufficient evidence to conclude that the mean price of a​ single-family home has decreased from its level two years ago of ​$299,600.

Three years​ ago, the mean price of a​ single-family home was ​$243,800. A real estate broker believes that the mean price has decreased since then.

There is not sufficient evidence to conclude that the mean price of a​ single-family home has decreased.

Six years​ ago, 11.5​% of registered births were to teenage mothers. A sociologist believes that the percentage has increased since then.

There is not sufficient evidence to conclude that the percentage of teenage mothers has increased.

Six years​ ago, 12.8​% of registered births were to teenage mothers. A sociologist believes that the percentage has increased since then.

There is sufficient evidence to conclude that the percentage of teenage mothers has increased.

According to the​ report, the standard deviation of monthly cell phone bills was ​$48.19 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is less today. The null hypothesis is rejected

There is sufficient evidence to conclude that the standard deviation of monthly cell phone bills is less than its level three years ago of ​$48.19.

The null and alternative hypotheses are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tailed. What parameter is being​ tested? H0​: σ = 7 H1​: σ ≠ 7

What type of test is being conducted in this​ problem? Two​-tailed test What parameter is being​ tested? Population standard deviation

The ​hypothesis, denoted H1​, is a statement that the researcher is trying to find evidence to support.

alternative

The​ _______ _______ is a statement we are trying to find evidence to support.

alternative hypothesis

When testing a hypothesis using the​ P-value Approach, if the​ P-value is​ large, reject the null hypothesis.

false

The mean of the pressure required to open a certain valve is known to be μ=8.1 psi. Due to changes in the manufacturing​ process, the​ quality-control manager feels that the average pressure has changed. The null hypothesis was rejected.

There is sufficient evidence that the mean of the pressure required to open a certain valve has changed.

The ​hypothesis, denoted H0​, is a statement to be​ tested, and is a statement of no​ change, no​ effect, or no difference

null