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1. Interstate Batteries guarantees its lawn tractor battery will last at least 3 years. To increase sales, the company plans to offer a new replacement warranty, as long as 95% of all batteries do indeed last at least 3 years. A random sample of 200 customers was contacted, and 183 had batteries that lasted at least 3
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1. Interstate Batteries guarantees its lawn tractor battery will last at least 3 years. To increase sales, the company plans to offer a new replacement warranty, as long as 95% of all batteries do indeed last at least 3 years. A random sample of 200 customers was contacted, and 183 had batteries that lasted at least 3 years. Is there evidence to suggest the proportion of tractor batteries that last at least 3 years is less than 95%? (i) The null and alternative hypotheses are (use symbols) Ho:_____________________________________ Ha: ________________________________________ (ii) the test value (test statistics) is: ___________________________________________________________ ___________________________________________________________ (iii) At 5%, the critical value from the tables will be: (a) 1.645 (b) - 1.645 (c) 1.96 (d) - 1.96 (e) 1.28 (iv) At the 5% level, the statistical conclusion will be (a) Accept Ho, since _______________________________________________________ (b) Reject Ho, since _______________________________________________________ (v) The word conclusion will be (a) Accept Ho, the proportion of tractor batteries lasting at least 3 years is 95%. (b) Accept Ho, there is not enough evidence to say the proportion of tractor batteries lasting at least 3 years is less tha 95%. (c) Reject Ho, the proportion of tractor batteries lasting at least 3 years is less than 95%. (d) Reject Ho, the proportion of tractor batteries lasting at least 3 years is 95%. (vi) Interpreting the results of the test: Interstate Batteries will be able to offer the new replacement warranty YES NO

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