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Country food includes seals, caribou, whales, ducks, fish and berries and is an important part of the diet of the aboriginal people called Inuits who inhabit Inuit Nunangat, the northern region of what is now called Canada. A survey of Inuits in Inuit Nunangat reported that 3274 out of 5000 respondents said that at least half of the meat and fish that they eat is country food. Report the standard error of the sample proportion Report the margin of error for the population proportion with 95% confidence. Find the 95% large-sample confidence interval for the population proportion. You want to examine the possibility that the Inuit diet is in fact different than a traditional diet which is about 70%. State the null and alternative hypotheses for the Inuit diet. Note the alternative hypothesis is tricky as this will be a case where it is different.

          Country food includes seals, caribou, whales, ducks, fish and berries and is an important part of the diet of the aboriginal people called Inuits who inhabit Inuit Nunangat, the northern region of what is now called Canada. A survey of Inuits in Inuit Nunangat reported that 3274 out of 5000 respondents said that at least half of the meat and fish that they eat is country food. 
Report the standard error of the sample proportion 
Report the margin of error for the population proportion with 95% confidence.
          
Find the 95% large-sample confidence interval for the population proportion. 
You want to examine the possibility that the Inuit diet is in fact different than a traditional diet which is about 70%. State the null and alternative hypotheses for the Inuit diet. Note the alternative hypothesis is tricky as this will be a case where it is different.

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Jerelyn Nevil

08/06/2023

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Country food includes seals, caribou, whales, ducks, fish and berries and is an important part of the diet of the aboriginal people called Inuits who inhabit Inuit Nunangat, the northern region of what is now called Canada. A survey of Inuits in Inuit Nunangat reported that 3274 out of 5000 respondents said that at least half of the meat and fish that they eat is country food. Report the standard error of the sample proportion Report the margin of error for the population proportion with 95% confidence. Find the 95% large-sample confidence interval for the population proportion. You want to examine the possibility that the Inuit diet is in fact different than a traditional diet which is about 70%. State the null and alternative hypotheses for the Inuit diet. Note the alternative hypothesis is tricky as this will be a case where it is different.

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00:01 Okay, so i see that you need help with this question, and it says a report on food science states that younger adults are more likely to see foods with general modified ingredients as bad for their health than older adults.

00:14 This statement is based on a representative sample of 175 adults aged 18 to 29, and a representative sample of 450 adult americans age 50 to 64.

00:29 So 175 age 18 to 29, oops, and then 450 adults age 50 to 64.

00:42 Of those in the 18 to 29 age group, 48 % said that they believe these foods were bad for their health, while only 38 % of the age group believed this.

00:59 Are the sample sizes large enough to use the large sample confidence interval to estimate the difference in the population proportions? explain.

01:10 So let p1 0 .48 and p2 0 .38, n1 175, n2 450, where the one subscript indicates age 18 to 29 group and two subscript indicates age 50 to 64.

01:36 So it wants you to multiply 0 .48 times 175, which is 84.

01:50 So you're going to put 84 here, and then you're going to do 0 .48 times 1 minus 0 .48, which is 0 .48, 1 minus 0 .48 times 0 .48.

02:14 That's 0 .2496, which is 0 .2496.

02:25 You can see that there better.

02:27 And then 0 .38 times 450, that's equal to 171.

02:42 And then 0 .38 times 1 minus 0 .38, that's 0 .2356.

03:08 So yes, all at least 10 of these sample sizes are large enough to use large sample confidence interval...

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