There's a one time fee of $27 to join the gym the monthly cost of using the gym is $18 write an equation for the relationship th
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Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
The test statistic is:
In which:
- X is the sample proportion.
- p is the value tested at the null hypothesis.
- s is the standard error, given by:
With n as the sample size.
In this problem:
- 0.4 is tested at the null hypothesis, thus
.
- Won 3 out of 3, thus
.
- The standard error is:
The value of the test statistic is:
The p-value is the probability of finding a sample proportion of 1 or "above", which is <u>1 subtracted by the p-value of Z = 2.12.</u>
- Looking at the z-table, Z = 2.12 has a p-value of 0.983.
- 1 - 0.983 = 0.017.
The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
A similar problem is given at brainly.com/question/24166849