Question

The football players continue their hypothesis test by finding the p-value to make a conclusion about the null hypothesis.

• H0:μ=275; Ha:μ<275, which is a left-tailed test.
• α=0.025.
• z0=−1.49

Which is the correct conclusion of Jose's one-mean hypothesis test at the 2.5% significance level?

Use the Standard Normal Table for the critical values:

z	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
...	...	...	...	...	...	...	...	...	...	...
−1.6	0.0455	0.0465	0.0475	0.0485	0.0495	0.0505	0.0516	0.0526	0.0537	0.0548
−1.5	0.0559	0.0571	0.0582	0.0594	0.0606	0.0618	0.0630	0.0643	0.0655	0.0668
−1.4	0.0681	0.0694	0.0708	0.0721	0.0735	0.0749	0.0764	0.07078	0.0793	0.0808
−1.3	0.0823	0.0838	0.0853	0.0869	0.0885	0.0901	0.0918	0.0934	0.0951	0.0968

Select the correct answer below:

p=0.0681

We should reject H0 because p≤α. So, at the 2.5% significance level, the data provide sufficient evidence to conclude that the players' bench press mean weight is less than 275 pounds.

p=0.0681

We should reject H0 because p>α. So, at the 2.5% significance level, the data provide sufficient evidence to conclude that the players' bench press mean weight is less than 275 pounds.

p=0.0681

We should not reject H0 because p>α. So, at the 2.5% significance level, the data does not provide sufficient evidence to conclude that the players' bench press mean weight is less than 275 pounds.

p=0.0808

We should reject H0 because p≤α. So, at the 2.5% significance level, the data provide sufficient evidence to conclude that the players' bench press mean weight is less than 275 pounds.

p=0.0808

We should reject H0 because p>α. So, at the 2.5% significance level, the data provide sufficient evidence to conclude that the players' bench press mean weight is less than 275 pounds.

p=0.0808

We should not reject H0 because p>α. So, at the 2.5% significance level, the data does not provide sufficient evidence to conclude that the players' bench press mean weight is less than 275 pounds.

Answer 1

Given the following information

• H0:μ=275; Ha:μ<275, which is a left-tailed test.
• α=0.025.
• z0=−1.49

using z distribution for z value of -1.49

check -1.4 in the left most column and 0.09 in the top row, selecting the intersecting cell, we get

p value = 0.0681

it is clear that the p value is more than 0.025 alpha level, thus we fail to reject the null hypothesis as the result is insignificant.

We can say that we have insufficient evidence to conclude that the mean is less than 2.75

Correct answer

p=0.0681

We should not reject H0 because p>α. So, at the 2.5% significance level, the data does not provide sufficient evidence to conclude that the players' bench press mean weight is less than 275 pounds.