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In: Statistics and Probability

Consumers Energy states that the average electric bill across the state is $147.49. You want to...

Consumers Energy states that the average electric bill across the state is $147.49. You want to test the claim that the average bill amount is actually less than $147.49. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 147.49, Alternative Hypothesis: μ < 147.49. You complete a randomized survey throughout the state and perform a one-sample hypothesis test for the mean, which results in a p-value of 0.0416. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 10 options:

1)

We did not find enough evidence to say the true average electric bill is less than $147.49.

2)

The true average electric bill is significantly less than $147.49.

3)

The true average electric bill is significantly different from $147.49.

4)

The true average electric bill is significantly greater than $147.49.

5)

The true average electric bill is greater than or equal to $147.49.

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.55, but given the number of people you've talked to about this same issue, you believe it is different from 0.55. The hypotheses for this test are Null Hypothesis: p = 0.55, Alternative Hypothesis: p ≠ 0.55. If you randomly sample 24 people and 14 of them believe that global warming is a serious issue, what is your test statistic and p-value?

Question 11 options:

1)

Test Statistic: 0.328, P-Value: 0.629

2)

Test Statistic: 0.328, P-Value: 0.743

3)

Test Statistic: 0.328, P-Value: 0.372

4)

Test Statistic: -0.328, P-Value: 0.743

5)

Test Statistic: 0.328, P-Value: 0.257

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