Test for a single proportion.
A survey of 4276 randomly selected households showed that 4019 telephones (based on data from the US Census Bureau). Minitab was used to test the claim that the percentage of households is now greater than the 35 percent rate that was found in 1920. The Minitab show is given below. The current rate of 4019/4276 (or 94%) appears to be significantly greater than the 1920 rate of 35 percent, but is there sufficient evidence to support that claim? employ a 0.01 significance level.
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Mintab
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Test of p= 0.35 vs p > 0.35
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95%
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Lower
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Sample
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x
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N
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Sample P
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Bound
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Z-Value
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P-Value
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1
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4019
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4276
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0.939897
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0.933919
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80.87
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0
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Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-Value or critical value(s), conclusion about null hypothesis, and final conclusion that address the original claim.