A cellphone provider has the business objective of wanting to determine the prop
ID: 2907342 • Letter: A
Question
A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 400 400 subscribers. The results indicate that 99 99 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20 % 20% of the subscribers would upgrade. Complete parts? (a) and? (b) below.
At the 0.05level of? significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced? cost?
Determine the null? hypothesis, H0?,and the alternative? hypothesis, H 1
what is Z stat? round two decimal places
what is p- value and round three decimal places
What is the final? conclusion?
? _____ the null hypothesis. There ____sufficient evidence that the percentage of people who would upgrade to a new cellphone at a reduced cost is ?_____20?%.
b. How would the manager in charge of promotional programs concerning cellphone upgrades use the results in? (a)?
The manager _____ suggest reducing the price
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.2
HA : p > 0.2
Hypothesis test results:
Hence,
Ho: p = 0.20
Ha: p > 0.20
z = 2.38
p - value = 0.009
Reject; is; more
b) should
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 99 400 0.2475 0.02 2.375 0.0088Related Questions
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