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A study conducted in 2000 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. She declares the null and alternative hypotheses to be:

H0: The mean number of children per household in 2000 is 1.7
H1: The mean number of children per household in 2000 is not 1.7
Which of the following statements is true about this test?

a) this is a right tailed test
b) this is a left tailed test
c)this is a two tailed test d) this is a step tailed test

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Answer:

c). Two tailed test

Step-by-step explanation:

The given hypothesis are

Null hypothesis: H0:μ= 1.7

Alternative hypothesis: H1:μ≠ 1.7

The alternative hypothesis demonstrates that  mean number of children are not 1.7 in 2000. This means that mean number of children can be greater than 1.7 or mean number of children can be less than 1.7. Thus, the given alternative hypothesis indicates the two tailed test.