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StClowers

  • 10 months 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
    • 10 months ago
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    Please help me enter this into the Ti84 calc THANKS!!

  2. violy
    • 10 months 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
    • 10 months ago
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    We will input the appropriate values for x, n and C-level. Then, we will Calculate.

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

  5. StClowers
    • 10 months ago
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    ok, which values are which though...thats the confusing part.

  6. StClowers
    • 10 months ago
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    @violy

  7. violy
    • 10 months 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
    • 10 months ago
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    yes ok...one sec

  9. StClowers
    • 10 months ago
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    it gave me an error...

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

  11. StClowers
    • 10 months 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
    • 10 months 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
    • 10 months ago
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    Kindly recheck the value of the x.

  14. violy
    • 10 months 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
    • 10 months ago
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    .001?

  16. violy
    • 10 months ago
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    Oops

  17. violy
    • 10 months ago
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    0.66=x/34696. Solve for x.

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

  19. violy
    • 10 months 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
    • 10 months ago
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    multiply

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

  22. StClowers
    • 10 months ago
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    the left side is 22899.36 and the right side is 1203812416

  23. violy
    • 10 months ago
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    We will round that.

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

  25. StClowers
    • 10 months ago
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    @violy

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