In a health survey of newly vaccinated individuals, researchers investigated whether there is a difference in the proportion of people aged 18–2918–29 and those aged 30–4930–49 who received at least one dose of a new vaccine. The survey included random samples of 10001000 individuals from each age group. Among the 18–2918–29 age group, 720720 had received at least one dose. Among the 30–4930–49 age group, 680680 had received at least one dose. At α=0.01\alpha = 0.01, can you support the claim that the proportion of vaccinated individuals in the 18–2918–29 age group is greater than the proportion in the 30–4930–49 age group?

There is insufficient evidence to support that 18–2918–29-year-olds are more likely to be vaccinated than 30–4930–49-year-olds.

There is sufficient evidence to support that 18–2918–29-year-olds are significantly more likely to be vaccinated than 30–4930–49-year-olds.

There is sufficient evidence to support that 30–4930–49-year-olds have a higher vaccination rate than 18–2918–29-year-olds.

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Frequency Distributions
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Mean
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Determining the Minimum Sample Size Required
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Sampling Distribution of Sample Proportion
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Two Proportions
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Problem 28Multiple Choice

In a health survey of newly vaccinated individuals, researchers investigated whether there is a difference in the proportion of people aged $18 en dash 29$ and those aged $30 en dash 49$ who received at least one dose of a new vaccine. The survey included random samples of $1000$ individuals from each age group. Among the $18 en dash 29$ age group, $720$ had received at least one dose. Among the $30 en dash 49$ age group, $680$ had received at least one dose. At $alpha equals 0.01$ , can you support the claim that the proportion of vaccinated individuals in the $18 en dash 29$ age group is greater than the proportion in the $30 en dash 49$ age group?

There is sufficient evidence to support that $18 en dash 29$ -year-olds are significantly more likely to be vaccinated than $30 en dash 49$ -year-olds.

There is insufficient evidence to support that vaccination rates differ between the two age groups.

There is sufficient evidence to support that $30 en dash 49$ -year-olds have a higher vaccination rate than $18 en dash 29$ -year-olds.

There is insufficient evidence to support that $18 en dash 29$ -year-olds are more likely to be vaccinated than $30 en dash 49$ -year-olds.

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