university is advertises that average student debt for any student completing a bachelor's at their campus is $30,000. Students feel that they are spending too much on fees and feel the average debt is much higher. A student statistician surveys 200 students and the average debt of the students is $31,000 with a standard deviation of $1,800. At the 5% significance level, determine if the average debt is more than $30,000 for any student that would attend the university and complete a bachelor's. Give the hypotheses. A) Null: The average student debt is $30,000. Alternative: The average debt is lower than $30,000. B) Null: The average student debt is $30,000. C) Alternative: The average debt is higher than $30,000. D) Null: The average student debt is $30,000. Alternative: The average debt is not $30,000. Give the rejection region. A) z greater than 1.64 B) t greater than 1.64 C) z greater than 1.96 D) z greater than 7.86 Give the test statistic. A) z = 1.64 B) z = 1.96 C) t = 7.86 D) z = 7.86 Give the p-value Give the p-value. Group of answer choices A) 0.05 B) 1.64 C) 7.86 D) 0.000000000000002 Give the conclusion. A) Reject the null since the test statistic is in the rejection region and the p-value is smaller than the significance. B) Reject the null since the test statistic is in the rejection region and the p-value is larger than the significance. C) Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance. D) Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance.
university is advertises that average student debt for any student completing a bachelor's at their campus is $30,000. Students feel that they are spending too much on fees and feel the average debt is much higher. A student statistician surveys 200 students and the average debt of the students is $31,000 with a standard deviation of $1,800. At the 5% significance level, determine if the average debt is more than $30,000 for any student that would attend the university and complete a bachelor's.
Give the hypotheses.
A) Null: The average student debt is $30,000.
Alternative: The average debt is lower than $30,000.
B) Null: The average student debt is $30,000.
C) Alternative: The average debt is higher than $30,000.
D) Null: The average student debt is $30,000.
Alternative: The average debt is not $30,000.
Give the rejection region.
Give the test statistic.
Give the p-value.
Give the conclusion.
A) Reject the null since the test statistic is in the rejection region and the p-value is smaller than the significance.
B) Reject the null since the test statistic is in the rejection region and the p-value is larger than the significance.
C) Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance.
D) Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance.
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