Question

Question 10 (1 point)

Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is greater than 0.51, a claim you would like to test. If you conduct a hypothesis test, what will the null and alternative hypotheses be?

Question 10 options:

1)	HO: p ≥ 0.51 HA: p < 0.51

2)	HO: p < 0.51 HA: p ≥ 0.51

3)	HO: p ≤ 0.51 HA: p > 0.51

4)	HO: p > 0.51 HA: p ≤ 0.51

5)	HO: p = 0.51 HA: p ≠ 0.51

Question 11 (1 point)

A student at a university wants to determine if the proportion of students that use iPhones is less than 0.46. The hypotheses for this scenario are as follows. Null Hypothesis: p ≥ 0.46, Alternative Hypothesis: p < 0.46. If the student randomly samples 28 other students and finds that 9 of them use iPhones, what is the test statistic and p-value?

Question 11 options:

1)	Test Statistic: 1.471, P-Value: 0.071

2)	Test Statistic: -1.471, P-Value: 0.071

3)	Test Statistic: -1.471, P-Value: 0.142

4)	Test Statistic: -1.471, P-Value: 0.929

5)	Test Statistic: 1.471, P-Value: 0.929

Question 12 (1 point)

It is reported in USA Today that the average flight cost nationwide is $402.86. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually less than $402.86. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 402.86, Alternative Hypothesis: μ < 402.86. You take a random sample of national flight cost information and perform a one sample mean hypothesis test. You observe a p-value of 0.0032. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 12 options:

1)	The true average flight cost is significantly greater than $402.86.

2)	We did not find enough evidence to say the true average flight cost is less than $402.86.

3)	The true average flight cost is significantly different from $402.86.

4)	The true average flight cost is greater than or equal to $402.86.

5)	The true average flight cost is significantly less than $402.86.

Answer 1

10)

3) Right tailed test

H_O: p ≤ 0.51
H_A: p > 0.51

11)

The statistical software output for this problem is :

2) Test Statistic: -1.471, P-Value: 0.071

12)

P-value = 0.0032

P-value < 0.05

Reject the null hypothesis

5) The true average flight cost is significantly less than $402.86.