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Two computer users were discussing tablet computers. A higher proportion of people ages 16to 29use tablets than the proportion of people age 30and older. Table localid="1653641949025" 10.28details the number of tablet owners for each age group. Test at the localid="1653641953436" 1%level of significance.

Table.localid="1653641957518" 10.28


localid="1653641961619" 16-29years oldlocalid="1653641966431" 30years old and older
Own table69231
Sample size6282309

Short Answer

Expert verified

At the 1%level of significance, there is insufficient evidence from the sample data to establish that a greater proportion of tablet owners are between the ages of 16and 29than those between the ages of 30and older.

Step by step solution

01

Given information

Given in the question that,

16-29year olds30years old and olderOwn a Tablet69231Sample Size6282,309

02

Explanation

(a) The null hypothesis is defined as follows: p1p2.

(b) The alternate hypothesis is defined as follows: p1>p2

(c) Between the proportions of age groups, the random variable is varied.

(d) Two proportions have a normal distribution.

(e) Fill in all requirements using Minitab's two-sample t-test option.

The result will be:

03

Part 3: Conclusion

The test statistics : 0.70.

From the output, the pvalue is: 0.458.

Using the data from the last exercise, create a mental picture of the situation.

The horizontal axis should be clearly labelled and scaled, and the region(s) matching to the p-valueshould be shaded on the graph.

=0.01

Accept the null hypothesis as a conclusion.

p-value>is the reason for the decision.

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