A bank report looks at what strategies and measures financial institutions are pursuing to provide mobile financial services to their customers. In a response to a survey question about barriers hindering greater consumer adoption of mobile$$ banking, in a survey of $119$ financial$$ institutions, $78$ said security concerns are a$$ barrier, $70$ said lack of trust in the technology is a$$ barrier, and $19$ said difficulty of use was a barrier. Complete parts$($a$)$ through$($d$)$ below.

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Part $1$

a$.$ Construct a $90\%$ confidence interval estimate of the population proportion of financial institutions who said that security concerns are a barrier hindering greater consumer adoption of mobile banking.

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enter your response here $($Round to three decimal places as$$ needed.$)$