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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% rate that was found in 1920. The Minitab display is given below. The current rate of 4019/4276 (or 94%) appears to be significantly greater than the 1920 rate of 35%, but is there sufficient evidence to support that claim? Use a 0.01 significance level.
Mintab
Test of p= 0.35 vs p > 0.35
95%
Lower
Sample
x
N
Sample P
Bound
Z-Value
P-Value
1
4019
4276
0.939897
0.933919
80.87
0
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-Value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.
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