Question

# Question 10 (1 point) Your friend tells you that the proportion of active Major League Baseball...

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.

10)

3) Right tailed test

HO: p ≤ 0.51
HA: 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.