Question 1087841
Ho: x = 0.65
H1: x not = 0.65
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This requires a two-tailed test
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Our significance level is 5% or 0.05
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The sample proportion = (55-17) / 55 = 0.6909 approx 0.69
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standard error(SE) = square root(0.69 * (1-0.69) / 55) = 0.0624
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z-value = (0.69 - 0.65) / 0.0624 = 0.641 approx 0.64
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The z statistic at 0.05 is -1.96 or 1.96 for a two tailed test
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Since our test statistic has a z value of 0.64, we do not reject Ho.
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answer is "Yes, because the test value 0.64 is in the noncritical region"
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that is 0.64 is less than 1.96
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