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(1 point) Albert thinks that he has a special relationship with the number 4. In

ID: 3356844 • Letter: #

Question

(1 point) Albert thinks that he has a special relationship with the number 4. In particular, Albert thinks that he would roll a 4 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Albert will roll a 4. (Note you will need to find the probability of getting a four when rolling a fair 6-sided die like we did in chapter 3 so that you can compare p to this value) (a) State the null and alternative hypotheses for testing Albert's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not-", ">=", or "

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.16666667
HA : p > 0.16666667

Hypothesis test results:

Hence,

a) Ho: p <= 1/6

Ha: p > 1/6

b) P - value = 0.2697

c) No

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 7 34 0.20588235 0.063913749 0.61357199 0.2697