It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 136 kissing couples, both people in 88 of the couples tended to lean more to the right than to the left. (Use ? = 0.05.)
(a) If 2/3 of all kissing couples exhibit this right-leaning
behavior, what is the probability that the number in a sample of
136 who do so differs from the expected value by at least as much
as what was actually observed? (Round your answer to three decimal
places.)
(b) Does the result of the experiment suggest that the 2/3 figure
is implausible for kissing behavior?
State the appropriate null and alternative hypotheses.
H0: p = 2/3
Ha: p ? 2/3H0:
p = 2/3
Ha: p ?
2/3 H0: p
= 2/3
Ha: p > 2/3H0:
p = 2/3
Ha: p < 2/3
Calculate the test statistic and determine the P-value.
(Round your test statistic to two decimal places and your
P-value to four decimal places.)
z | = | |
P-value | = |
State the conclusion in the problem context.
Reject the null hypothesis. There is not sufficient evidence to conclude that the true proportion of right-leaning behavior differs from 2/3.Do not reject the null hypothesis. There is sufficient evidence to conclude that the true proportion of right-leaning behavior differs from 2/3. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true proportion of right-leaning behavior differs from 2/3.Reject the null hypothesis. There is sufficient evidence to conclude that the true proportion of right-leaning behavior differs from 2/3.
a)
n = 136 , x = 88
p = 2/3 = 0.67
pcap = 88/136 = 0.65
P(pcap > 0.65)
z = ( pcap - p) /sqrt(p*(1-p)/n))
= (0.65 -0.67)/sqrt((0.67*0.33)/136)
=-0.4960
P(pcap > 0.65) = P(z > -0.4960) = 0.690
b)
H0 : p = 2/3
Ha : p not equals to 2/3
z = ( pcap - p) /sqrt(p*(1-p)/n))
= (0.65 -0.67)/sqrt((0.67*0.33)/136)
=-0.4960
p value = 0.6198
Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true proportion of right-leaning behavior differs from 2/3
It is known that roughly 2/3 of all human beings have a dominant right foot or...
It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 124 kissing couples, both people in 77 of the couples tended to lean more to the right than to the left. (Use α = 0.05.) (a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample...
It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 118 Kissing couples, both people in 74 of the couples tended to lean more to the right than to the left. (Use 0.05.) (a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 118...
I need help with just the parts I got wrong, thanks! at9 8 E.046 that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing It is behavior? An article reported that in a random sample of 115 kissing couples, both people in 71 of the couples tended to lean more t the right than to the left. (Use α = 0.05.) (a) If 2/3 of all kissing couples exhibit...
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The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with σ = 0.32 and that x = 5.22. (Use α = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. H0:...
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