An experimenter flips a coin 100 times and gets 62 heads. We wish to test the claim that the coin is fair (i.e. a coin is fair if a heads shows up 50% of the time). Test if the coin is fair or unfair at a 0.05 level of significance. Calculate the z test statistic for this study. Enter as a number, round to 2 decimal places.
Added by Crystal C.
Step 1
First, we need to state the null hypothesis (H0) and the alternative hypothesis (H1). In this case, the null hypothesis is that the coin is fair (p = 0.5), and the alternative hypothesis is that the coin is not fair (p ≠ 0.5). Show more…
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Sri K.
An experimenter flips a coin 100 times and gets 62 heads. Test the claim that the coin is fair against the two-sided claim that it is not fair at the level α=.01. a) Ho: p = .5, Ha: p ≠ .5; z = 2.40; Reject Ho at the 1% significance level. b) Ho: p = .5, Ha: p ≠ .5; z = 2.47; Fail to reject Ho at the 1% significance level. c) Ho: p = .5, Ha: p > .5; z = 2.40; Reject Ho at the 1% significance level. d) Ho: p = .5, Ha: p > .5; z = 2.47; Fail to reject Ho at the 1% significance level. e) Ho: p = .5, Ha: p ≠ .5; z = 2.40; Fail to reject Ho at the 1% significance level.
Madhur L.
An experimenter flips a coin 100 times and gets 58 heads. Test the claim that the coin is fair against the two-sided claim that it is not fair at the level ̑ = .01. a) Hₒ: p = .5, Hₐ: p > .5; z = 1.62; Fail to reject Hₒ at the 1% significance level. b) Hₒ: p = .5, Hₐ: p ≠ .5; z = 1.60; Fail to reject Hₒ at the 1% significance level. c) Hₒ: p = .5, Hₐ: p > .5; z = 1.60; Reject Hₒ at the 1% significance level. d) Hₒ: p = .5, Hₐ: p ≠ .5; z = 1.62; Fail to reject Hₒ at the 1% significance level. e) Hₒ: p = .5, Hₐ: p ≠ .5; z = 1.60; Reject Hₒ at the 1% significance level.
Adi S.
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