Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 250 times and got 109 heads. We wish to find how significant is this evidence against equal probabilities. a. What is the sample proportion of heads? Round to 3 decimal places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? Ho: p = 0.5 %3D Ho: p = 0.5 * 0.5 Но: р * Но: р3D 0.5 O Ho: p = 0.5 Họ: p < 0.5 О Но: р 3D 0.5 Но: р > 0.5 c. Compute the z test statistic. Z = Round to 2 decimal places.

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Spinning a coin, unlike tossing it, may not give heads and
tails equal probabilities. I spun a penny 250 times and got
109 heads. We wish to find how significant is this evidence
against equal probabilities.
a. What is the sample proportion of heads?
Round to 3 decimal places.
b. Heads do not make up half of the sample. Is this
sample evidence that the probabilities of heads and
tails are different?
Take p to be the probability of getting heads in a
spin of a penny. Which hypotheses do we want to
test?
Но: р 3D 0.5
Họ: p = 0.5
О Но: р 2 0.5
Ho: p = 0.5
О Но: р %3D 0.5
Но: р < 0.5
O Họ: p = 0.5
Но: р> 0.5
C. Compute the z test statistic.
Z =
Round to 2 decimal places.
Transcribed Image Text:Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 250 times and got 109 heads. We wish to find how significant is this evidence against equal probabilities. a. What is the sample proportion of heads? Round to 3 decimal places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? Но: р 3D 0.5 Họ: p = 0.5 О Но: р 2 0.5 Ho: p = 0.5 О Но: р %3D 0.5 Но: р < 0.5 O Họ: p = 0.5 Но: р> 0.5 C. Compute the z test statistic. Z = Round to 2 decimal places.
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