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Faz
Lv 7
Faz asked in Science & MathematicsMathematics · 1 decade ago

What is the null hypothesis?

A CEO claims that at least 80 percent of the company's 1,000,000 customers are very satisfied. Again, 100 customers are surveyed using simple random sampling. The result: 73 percent are very satisfied. Based on these results, should we accept or reject the CEO's hypothesis? Assume a significance level of 0.05.

ok, I know the procedure for this but what is the null hypothesis here?

Is it P >= 0.80?

coz that's what it says on this website (http://stattrek.com/Lesson5/Proportion.aspx?Tutori...

ok now I've got another question from a textbook:

A manager claims that over 60% of a mall's visitors shop at the store. Let p be the proportion.

Then the null hypothesis is that p=0.6.

So in the first case, the claim is the NULL hypothesis, while in the second the claim is the ALTERNATIVE hypothesis. What am I not getting here? Or has the website got it wrong?

1 Answer

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  • πguy
    Lv 4
    1 decade ago
    Favorite Answer

    I think you have it about right. In the first case, I would say the null hypothesis is P=.8 and the alternative is P<.8.

    In the second case, I'd say the null is P=.6

    You can state a null hypothesis in the form P>=.8, but you really only test to see if the observed value is different from .8, not the possible proportions greater than that. The ">" sign confuses that.

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