Questions: In 2000, census results indicated that the age at which American men first married had a mean of 23.3 years. It is widely suspected that young people today are waiting longer to get married. Which hypotheses should be tested? HO: μ=23.3 years; HA: μ ≠ 23.3 years HO: μ=23.3 years; HA: μ ≥ 23.3 years HO: μ=23.3 years; HA: μ<23.3 years HO: μ=23.3 years; HA: μ>23.3 years HO: μ=23.3 years; HA: μ ≤ 23.3 years

In 2000, census results indicated that the age at which American men first married had a mean of 23.3 years. It is widely suspected that young people today are waiting longer to get married. Which hypotheses should be tested? HO: μ=23.3 years; HA: μ ≠ 23.3 years HO: μ=23.3 years; HA: μ ≥ 23.3 years HO: μ=23.3 years; HA: μ<23.3 years HO: μ=23.3 years; HA: μ>23.3 years HO: μ=23.3 years; HA: μ ≤ 23.3 years
Transcript text: In 2000, census results indicated that the age at which American men first married had a mean of 23.3 years. It is widely suspected that young people today are waiting longer to get married. Which hypotheses should be tested? HO: $\mu=23.3$ years; HA: $\mu \neq 23.3$ years HO: $\mu=23.3$ years; HA: $\mu \geq 23.3$ years HO: $\mu=23.3$ years; HA: $\mu<23.3$ years HO: $\mu=23.3$ years; HA: $\mu>23.3$ years HO: $\mu=23.3$ years; HA: $\mu \leq 23.3$ years
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Solution

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Solution Steps

Step 1: Identify the Research Question

The research question is whether young people today are waiting longer to get married compared to the year 2000, when the mean age at first marriage for American men was 23.3 years.

Step 2: Determine the Null Hypothesis (HO)

The null hypothesis (HO) represents the status quo or the claim to be tested. In this case, it is that the mean age at first marriage has not changed from 23.3 years. Therefore, HO: \( \mu = 23.3 \) years.

Step 3: Determine the Alternative Hypothesis (HA)

The alternative hypothesis (HA) represents the suspicion that young people are waiting longer to get married. This implies that the mean age at first marriage is greater than 23.3 years. Therefore, HA: \( \mu > 23.3 \) years.

Final Answer

The correct answer is D.

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