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

The null and alternative hypothesis can be the same.

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.

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.

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 represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

The percentage of female physicians is 27%. In a survey of physicians, 45 of the 120 were women. Is there sufficient evidence at the α = 0.01 to claim that the proportion of women physicians is greater than 27%?

Which is closest to the p-value?

On average, 86% of all enrolled college students are undergraduates. A random sample of 500 college students revealed that 420 were undergraduates. At α = 0.10 level, is there enough evidence to conclude that the proportion is lower than the national average?

Which is closest to the p-value?

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. At α = 0.05, test the teacher’s claim that the

average amount of money is actually higher than $5.40.

Step 3: Find the p-value to represent this scenario.