Questions: The developers want their results to be statistically significant at a level of α=0.10. Use the data provided and the p-value you calculated to fill in the blanks and complete the sentences that form the developers' conclusion. P= 0.09 The decision is to the hypothesis. There is evidence that phone's mean battery life with the app is hrs. Answer Bank 18.0 not equal to 0.10 accept less than alternative null 19.8 reject equal to 5.2 sufficient 1.343 greater than insufficient fail to reject

The developers want their results to be statistically significant at a level of α=0.10. Use the data provided and the p-value you calculated to fill in the blanks and complete the sentences that form the developers' conclusion.

P= 0.09

The decision is to the hypothesis. There is evidence that phone's mean battery life with the app is hrs.

Answer Bank 18.0 not equal to 0.10 accept less than alternative null 19.8 reject equal to 5.2 sufficient 1.343 greater than insufficient fail to reject

Transcript text: The developers want their results to be statistically significant at a level of $\alpha=0.10$. Use the data provided and the $p$-value you calculated to fill in the blanks and complete the sentences that form the developers' conclusion. \[ P= \] 0.09 The decision is to $\qquad$ the $\qquad$ hypothesis. There is $\qquad$ evidence that phone's mean battery life with the app is $\qquad$ $\qquad$ hrs. Answer Bank 18.0 not equal to 0.10 accept less than alternative null 19.8 reject equal to 5.2 sufficient 1.343 greater than insufficient fail to reject

Solution

Solution Steps

Step 1: State the P-value

The calculated $ P $-value is $ P = 0.09 $.

Step 2: Compare P-value with Alpha

The significance level is set at $ \alpha = 0.10 $. Since $ P < \alpha $ (i.e., $ 0.09 < 0.10 $), we reject the null hypothesis.

Step 3: Evidence Interpretation

By rejecting the null hypothesis, we conclude that there is sufficient evidence to suggest that the phone's mean battery life with the app is not equal to the hypothesized value.

Step 4: State the Mean Battery Life

The mean battery life with the app is stated to be $ 19.8 $ hours.

Final Answer

The decision is to $ \text{reject} $ the $ \text{null} $ hypothesis. There is $ \text{sufficient} $ evidence that the phone's mean battery life with the app is $ \text{not equal to} $ $ 19.8 $ hrs.

\[ \boxed{\text{reject the null hypothesis; sufficient evidence; not equal to } 19.8 \text{ hrs.}} \]

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