Prob/Stat Hypothesis Testing Assessment

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

• using a small level of significance
• using a large level of significance
• obtaining data with a small p-value
• obtaining data with a low test statistic

A P-value indicates:

• the probability that the null hypothesis is true
• the probability that the alternative hypothesis is true
• the probability of obtaining the results (or one more extreme) if the null hypothesis is true
• probability of a Type I error

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• a) Reject the null hypothesis

• b) Reject the alternative hypothesis

• c) Fail to reject the null hypothesis

• d) Fail to reject the alternative hypothesis

Define a Type I error?

• The failure to reject a false null hypothesis
• Rejecting a true null hypothesis
• The acceptance to reject a null hypothesis
• Accepting a true null  hypothesis

The null and alternative hypothesis can be the same.

• Yes

• No

• Maybe

• All the above

In performing a hypothesis test where the null

hypothesis is that the μ = 6.9. A random sample of 16

items is selected. The sample mean is 7.1 and the sample

standard deviation is 2.4. It can be assumed that the

population is normally distributed at α = .05.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

Tags

CCSS.HSS.ID.A.4

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim using P-values.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

A random sample of 60 Grade 9 students were subjected to a new teaching strategy. The sampled students made an average of 84 in a quiz. Can it be concluded that the score of the respondents is different from the score of the primary study which is 82 with a deviation of 8?

Identify the null hypothesis.

It is claimed that the average monthly income of chemical engineers last year was 27,900php. A random sample of 35 chemical engineers is selected and it is found out that the average monthly salary is 28,000. Using 0.01 level of significance, can it be concluded that there is an increase in the average monthly income of chemical engineers? Assume that the population standard deviation is 250.50.

Identify the alternative hypothesis.

Which of the following is the FIRST step of a hypothesis test?

• Check assumptions & conditions
• Find your test statistic
• State your conclusion
• State your null & alternative hypotheses