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?
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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 pvalue?
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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 pvalue of 0.0032. What is the appropriate conclusion? Conclude at the 5% level of significance.
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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, PValue: 0.071
12)
Pvalue = 0.0032
Pvalue < 0.05
Reject the null hypothesis
5) The true average flight cost is significantly less than $402.86.
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