If the volume of a cube is 2197cm3, find the height of the cube
2 answers:
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Answer:
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.
Step-by-step explanation:
A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments.
At the null hypothesis, we test if the proportion of negative comments is of at least 5%, that is:
At the alternative hypothesis, we test if this proportion is less than 0.05, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that
A random survey of 850 customers found only 34 with complaints.
This means that
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.04, which is the p-value of z = -1.34.
Looking at the z-table, z = -1.34 has a p-value of 0.0901.
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.