Question

clayton surveyed freshmen and seniors at his high school to find out if they preferred milk chocolate or dark chocolate.

	milk chocolate	dark chocolate	total
seniors	52	35	87
total	101	61	162

complete the paragraph to describe the association between grade level and chocolate preference.
of the freshmen surveyed, about dropdown preferred milk chocolate to dark chocolate. of the seniors surveyed, about dropdown preferred milk chocolate. so, freshmen were dropdown likely than seniors to prefer milk chocolate.

Explanation:

Step1: Calculate freshmen's milk chocolate ratio

Freshmen who prefer milk chocolate: 49, total freshmen: 75. Ratio: $\frac{49}{75} \approx 0.653$, or 65.3% (but we can also do 49 vs 26, so 49/26 ≈ 1.88, meaning about 1.88 times as many, or as a fraction, 49/26 ≈ 1.88, but maybe the question wants a fraction or percentage. Wait, the first blank: "about [x] preferred milk chocolate to dark chocolate" – so the ratio of milk to dark for freshmen: 49/26 ≈ 1.88, or as a fraction, 49/26 ≈ 1.88, but maybe they want a percentage of freshmen who prefer milk: 49/75 ≈ 65.3%, but the second blank: seniors who prefer milk: 52/87 ≈ 0.598, or 59.8%. Then compare freshmen (65.3%) vs seniors (59.8%), so freshmen were more likely? Wait, let's check the steps again.

Wait, first blank: "Of the freshmen surveyed, about [x] preferred milk chocolate to dark chocolate." So milk chocolate (49) to dark chocolate (26). So 49/26 ≈ 1.88, or 49 is about 1.88 times 26, or as a fraction, 49/26 ≈ 1.88, but maybe they want a percentage of freshmen who prefer milk: 49/75 ≈ 65.3%, but the second blank: "Of the seniors surveyed, about [x] preferred milk chocolate." So 52/87 ≈ 0.598, or 59.8%. Then the third blank: "freshmen were [more/less] likely than seniors to prefer milk chocolate." Since 65.3% > 59.8%, so more.

Wait, let's compute the first ratio: milk to dark for freshmen: 49/26 ≈ 1.88, so about 1.88 times, but maybe the question expects a fraction or a percentage. Wait, maybe the first blank is the fraction of freshmen who prefer milk over dark, so 49/26 ≈ 1.88, but maybe as a percentage of freshmen: 49/75 ≈ 65%, 26/75 ≈ 35%, so 65% to 35%, so about 2/3 to 1/3, but 49/26 ≈ 1.88, so "about 1.88 times" or "about 65%", but let's check the numbers.

Wait, 49 and 26: 49 is almost 2 times 26 (26*2=52, 49 is close to 52). So 49/26 ≈ 1.88, so about 1.88, or 49/26 ≈ 2 (approx). Then seniors: 52/87 ≈ 0.598, so about 60%. Then freshmen (65%) vs seniors (60%), so more likely.

Wait, let's do exact calculations:

First blank: Freshmen milk to dark: 49/26 ≈ 1.88, so about 1.88, but maybe the question wants a fraction like 49/26 ≈ 2 (since 26*2=52, 49 is close to 52), or 49/75 ≈ 65%, 26/75 ≈ 35%, so 65% to 35%, so "about 2 times" or "about 65%". Wait, maybe the first blank is the ratio of milk to dark, so 49/26 ≈ 1.88, which is about 2 (since 49 is almost 2*26=52). Then seniors: 52/87 ≈ 0.598, which is about 60%. Then freshmen were more likely.

Wait, let's check the numbers again:

Freshmen: milk=49, dark=26, total=75.

Seniors: milk=52, dark=35, total=87.

First blank: "preferred milk chocolate to dark chocolate" – so the number of freshmen who prefer milk compared to dark. So 49 vs 26. So 49/26 ≈ 1.88, so about 1.88, or as a fraction, 49/26 ≈ 2 (since 26*2=52, 49 is close to 52). So "about 2 times" or "about 65% (of freshmen)". Wait, maybe the first blank is the percentage of freshmen who prefer milk: 49/75 ≈ 65%, and the second blank is the percentage of seniors who prefer milk: 52/87 ≈ 60% (since 52/87 ≈ 0.5977, which is about 60%). Then the third blank: since 65% > 60%, freshmen were more likely.

So step by step:

1. Freshmen milk to dark ratio: 49/26 ≈ 1.88, but maybe the question wants the fraction of freshmen who prefer milk: 49/75 ≈ 0.653, or 65%.

2. Seniors who prefer milk: 52/87 ≈ 0.598, or 60%.

3. Compare 65% (freshmen) vs 60% (seniors): freshmen were more likely.

So filling the blanks:

First blank: 49/26 ≈ 1.88, but maybe as a percentage, 65% (or 2/3, but 49/75 is 65.3%). Second blank: 52/87 ≈ 60% (or 0.6). Third blank: more.

Wait, let's confirm:

Freshmen who prefer milk: 49/75 ≈ 65.3%

Seniors who prefer milk: 52/87 ≈ 59.8%

So 65.3% vs 59.8%, so freshmen are more likely.

So:

First blank: about 65% (or 49/75 ≈ 0.65, or 2/3), but maybe the question expects a fraction like 49/26 ≈ 2 (since 49 is almost twice 26). Wait, the first blank says "preferred milk chocolate to dark chocolate" – so the ratio of milk to dark, not the ratio of milk to total. So 49 (milk) to 26 (dark), so 49/26 ≈ 1.88, which is about 2. So "about 2 times" or "about 65%". Wait, maybe the question is phrased as "about [x] preferred milk chocolate to dark chocolate" – meaning the proportion of freshmen who prefer milk over dark, so 49/75 ≈ 65%, and dark is 26/75 ≈ 35%, so 65% to 35%, so "about 2 times as many" (since 65% is about twice 35%). Then seniors: 52/87 ≈ 59.8%, which is about 60%. Then freshmen (65%) vs seniors (60%), so more likely.

So the answers would be:

First blank: 2 (or 65%, but 49/26 ≈ 2), second blank: 60% (or 52/87 ≈ 0.6), third blank: more.

But let's check the numbers again. 49 divided by 26 is approximately 1.88, which is about 2. 52 divided by 87 is approximately 0.598, which is about 0.6 or 60%. Then freshmen were more likely.

So:

First blank: 2 (or 1.88, but 2 is approximate), second blank: 0.6 (or 60%), third blank: more.

Answer:

First blank: $\frac{49}{26} \approx 2$ (or 65%), Second blank: $\frac{52}{87} \approx 0.6$ (or 60%), Third blank: more.

But to fit the blanks, probably:

First blank: 2 (or 65%), Second blank: 60% (or 0.6), Third blank: more.

So the completed paragraph:

Of the freshmen surveyed, about 2 (or 65%) preferred milk chocolate to dark chocolate. Of the seniors surveyed, about 60% (or 0.6) preferred milk chocolate. So, freshmen were more likely than seniors to prefer milk chocolate.