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StClowers

  • one year ago

An online site presented this question, “Would the recent norovirus outbreak deter you from taking a cruise?” Among the 34,696 people who responded, 66% answered “yes”. Use the sample data to construct a 95% confidence interval estimate for the proportion of the population of all people who would respond “yes” to that question. __ < p < __ (round to three decimal places as needed) Does the confidence interval provide a good estimate of the population proportions? (a) No, the sample is a voluntary sample and might not be representative of the population. (b) No, the responses are not independent. (c) Yes, the sample is large enough to provide a good estimate of the population proportion. (d) Yes, all the assumptions for a confidence interval are satisfied.

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  1. StClowers
    • one year ago
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    Please help me enter this into the Ti84 calc THANKS!!

  2. violy
    • one year ago
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    We will use the 1-PrpZInt function. We will press the STAT, right arrow key twice. Then, we press ALPHA MATH.

  3. violy
    • one year ago
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    We will input the appropriate values for x, n and C-level. Then, we will Calculate.

  4. violy
    • one year ago
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    By the way, take note that p hat = x/n.

  5. StClowers
    • one year ago
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    ok, which values are which though...thats the confusing part.

  6. StClowers
    • one year ago
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    @violy

  7. violy
    • one year ago
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    For the p hat, we will take note of the sample proportion given for the people who said yes. can you identify that? For the n, it is the sample size or the number of people who responded.

  8. StClowers
    • one year ago
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    yes ok...one sec

  9. StClowers
    • one year ago
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    it gave me an error...

  10. StClowers
    • one year ago
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    do i put in the 34696 just like that?

  11. StClowers
    • one year ago
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    I put x = .66 and n = 34696 then .95 for the c-level and it gave me an error.. :(

  12. StClowers
    • one year ago
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    ok so i tried it again and entered just 66 as the x and it gave me (.00144, .00236)..isthat right @violy ?

  13. violy
    • one year ago
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    Kindly recheck the value of the x.

  14. violy
    • one year ago
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    The 0.66 is for the p hat. If we use the formula p hat =x/n what will we get for the x?

  15. StClowers
    • one year ago
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    .001?

  16. violy
    • one year ago
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    Oops

  17. violy
    • one year ago
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    0.66=x/34696. Solve for x.

  18. StClowers
    • one year ago
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    Im so clueless, I guess Im not understanding where to get x

  19. violy
    • one year ago
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    We have the 34696 being divided on right side, we will use the opposite operation of division, which is?

  20. StClowers
    • one year ago
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    multiply

  21. violy
    • one year ago
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    That is correct, so we multiply each side by 34696. Can you try it?

  22. StClowers
    • one year ago
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    the left side is 22899.36 and the right side is 1203812416

  23. violy
    • one year ago
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    We will round that.

  24. StClowers
    • one year ago
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    ok.....in the question it asks to round to three decimal places as needed...

  25. StClowers
    • one year ago
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    @violy

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