According to a guide, 54% of cell phone users have only one cell number, 34% hav

Question

According to a guide, 54% of cell phone users have only one cell number, 34% have two numbers, 7% have three numbers, and 5% have four or more numbers. An independent survey of 949 randomly selected cell phone users found that 479 pay for only one number, 336 pay for two numbers, 104 pay for three numbers, and 30 pay for four or more numbers. Conduct a test to determine if the data from the independent survey contradict the percentages reported by the guide. Use alpha = 0.01.

Determine the null and alternative hypotheses.

Now find the test statistic.

Determine the p-value.

Explanation / Answer

Null hypothesis: The proportion of users with one number, two numbers, three numbers and four or more numbres are 54%, 34% 7% and 5% respectively.
Alternative hypothesis: At least one of the proportions in the null hypothesis is false

Test statistics, chi-square = 30.40

p-value = 0.0000

pi Ei Oi (Ei - Oi)^2/Ei 54% 512.46 479 2.184700464 34% 322.66 336 0.551526684 7% 66.43 104 21.24800391 5% 47.45 30 6.417334036 30.4015651

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